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4244261904 = 2432612892
BaseRepresentation
bin1111110011111010…
…0100110000010000
3101221210022211210100
43330332210300100
532143012340104
61541053132400
7210114426261
oct37476446020
911853284710
104244261904
111888858873
129a548a100
1352840539c
142c3978968
1519c924139
hexfcfa4c10

4244261904 has 135 divisors (see below), whose sum is σ = 12213162039. Its totient is φ = 1375925760.

The previous prime is 4244261867. The next prime is 4244261909. The reversal of 4244261904 is 4091624424.

It is a happy number.

The square root of 4244261904 is 65148.

It is a perfect power (a square), and thus also a powerful number.

4244261904 is a `hidden beast` number, since 42 + 4 + 426 + 190 + 4 = 666.

4244261904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2751212304 + 1493049600 = 52452^2 + 38640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4244261909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47688292 + ... + 47688380.

Almost surely, 24244261904 is an apocalyptic number.

4244261904 is the 65148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244261904

4244261904 is an abundant number, since it is smaller than the sum of its proper divisors (7968900135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4244261904 is an equidigital number, since it uses as much as digits as its factorization.

4244261904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 4244261904 is about 1619.0765839403.

Multiplying 4244261904 by its sum of digits (36), we get a square (152793428544 = 3908882).

4244261904 divided by its sum of digits (36) gives a square (117896164 = 108582).

The spelling of 4244261904 in words is "four billion, two hundred forty-four million, two hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 89 122 144 178 183 244 267 356 366 488 534 549 712 732 801 976 1068 1098 1424 1464 1602 2136 2196 2928 3204 3721 4272 4392 5429 6408 7442 7921 8784 10858 11163 12816 14884 15842 16287 21716 22326 23763 29768 31684 32574 33489 43432 44652 47526 48861 59536 63368 65148 66978 71289 86864 89304 95052 97722 126736 130296 133956 142578 178608 190104 195444 260592 267912 285156 331169 380208 390888 483181 535824 570312 662338 781776 966362 993507 1140624 1324676 1449543 1932724 1987014 2649352 2899086 2980521 3865448 3974028 4348629 5298704 5798172 5961042 7730896 7948056 8697258 11596344 11922084 15896112 17394516 23192688 23844168 29474041 34789032 47688336 58948082 69578064 88422123 117896164 176844246 235792328 265266369 353688492 471584656 530532738 707376984 1061065476 1414753968 2122130952 4244261904