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157364896 = 25132316447
BaseRepresentation
bin10010110000100…
…11001010100000
3101222002222001111
421120103022200
5310241134041
623340513104
73620402533
oct1130231240
9358088044
10157364896
1180912637
124484b794
13267aa230
1416c84a1a
15dc36981
hex96132a0

157364896 has 48 divisors (see below), whose sum is σ = 348171264. Its totient is φ = 69467904.

The previous prime is 157364891. The next prime is 157364917. The reversal of 157364896 is 698463751.

It is not an unprimeable number, because it can be changed into a prime (157364891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345 + ... + 17791.

It is an arithmetic number, because the mean of its divisors is an integer number (7253568).

Almost surely, 2157364896 is an apocalyptic number.

157364896 is a gapful number since it is divisible by the number (16) 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 157364896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174085632).

157364896 is an abundant number, since it is smaller than the sum of its proper divisors (190806368).

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

157364896 is a wasteful number, since it uses less digits than its factorization.

157364896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16493 (or 16485 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 157364896 is about 12544.5165709963. The cubic root of 157364896 is about 539.8866886163.

The spelling of 157364896 in words is "one hundred fifty-seven million, three hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 16447 32894 65788 131576 213811 263152 378281 427622 526304 756562 855244 1513124 1710488 3026248 3420976 4917653 6052496 6841952 9835306 12104992 19670612 39341224 78682448 157364896