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1049292192 = 253134319553
BaseRepresentation
bin111110100010101…
…110110110100000
32201010102120021210
4332202232312200
54122104322232
6252041550120
735000556624
oct7642566640
92633376253
101049292192
11499330833
122534a5340
13139508370
149d4dd184
15621bb5cc
hex3e8aeda0

1049292192 has 96 divisors (see below), whose sum is σ = 3035406528. Its totient is φ = 315334656.

The previous prime is 1049292191. The next prime is 1049292203. The reversal of 1049292192 is 2912929401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10492921922 = 2202028208384329728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1049292192.

It is not an unprimeable number, because it can be changed into a prime (1049292191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43888 + ... + 63440.

It is an arithmetic number, because the mean of its divisors is an integer number (31618818).

Almost surely, 21049292192 is an apocalyptic number.

1049292192 is a gapful number since it is divisible by the number (12) 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 1049292192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517703264).

1049292192 is an abundant number, since it is smaller than the sum of its proper divisors (1986114336).

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

1049292192 is a wasteful number, since it uses less digits than its factorization.

1049292192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19622 (or 19614 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1049292192 is about 32392.7799362759. The cubic root of 1049292192 is about 1016.1679202479.

The spelling of 1049292192 in words is "one billion, forty-nine million, two hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 19553 26832 39106 53664 58659 78212 117318 156424 234636 254189 312848 469272 508378 625696 762567 840779 938544 1016756 1525134 1681558 1877088 2033512 2522337 3050268 3363116 4067024 5044674 6100536 6726232 8134048 10089348 10930127 12201072 13452464 20178696 21860254 24402144 26904928 32790381 40357392 43720508 65580762 80714784 87441016 131161524 174882032 262323048 349764064 524646096 1049292192