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4390214240 = 255234492657
BaseRepresentation
bin1000001011010110…
…10101101001100000
3102022221221222202102
410011223111221200
532442343323430
62003345305532
7213536130266
oct40553255140
912287858672
104390214240
111953185a35
12a263352a8
1354c717b09
142d90cc436
151aa654345
hex105ad5a60

4390214240 has 96 divisors (see below), whose sum is σ = 10851019200. Its totient is φ = 1675362304.

The previous prime is 4390214239. The next prime is 4390214251. The reversal of 4390214240 is 424120934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650992 + ... + 1653648.

It is an arithmetic number, because the mean of its divisors is an integer number (113031450).

Almost surely, 24390214240 is an apocalyptic number.

4390214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4390214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425509600).

4390214240 is an abundant number, since it is smaller than the sum of its proper divisors (6460804960).

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

4390214240 is a wasteful number, since it uses less digits than its factorization.

4390214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4390214240 is about 66258.6918071886. The cubic root of 4390214240 is about 1637.4268393007.

The spelling of 4390214240 in words is "four billion, three hundred ninety million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 449 460 736 898 920 1796 1840 2245 2657 3592 3680 4490 5314 7184 8980 10327 10628 13285 14368 17960 20654 21256 26570 35920 41308 42512 51635 53140 61111 71840 82616 85024 103270 106280 122222 165232 206540 212560 244444 305555 330464 413080 425120 488888 611110 826160 977776 1192993 1222220 1652320 1955552 2385986 2444440 4771972 4888880 5964965 9543944 9777760 11929930 19087888 23859860 27438839 38175776 47719720 54877678 95439440 109755356 137194195 190878880 219510712 274388390 439021424 548776780 878042848 1097553560 2195107120 4390214240