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157382892 = 22333174597
BaseRepresentation
bin10010110000101…
…11100011101100
3101222010212202000
421120113203230
5310242223032
623341132300
73620506152
oct1130274354
9358125660
10157382892
1180925107
124485a090
13267b5494
1416c8b3d2
15dc3be7c
hex96178ec

157382892 has 48 divisors (see below), whose sum is σ = 409405920. Its totient is φ = 52284096.

The previous prime is 157382873. The next prime is 157382893. The reversal of 157382892 is 298283751.

It is a happy number.

157382892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157382893) 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, 31938 + ... + 36534.

It is an arithmetic number, because the mean of its divisors is an integer number (8529290).

Almost surely, 2157382892 is an apocalyptic number.

157382892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157382892 is an abundant number, since it is smaller than the sum of its proper divisors (252023028).

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

157382892 is a wasteful number, since it uses less digits than its factorization.

157382892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4919 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157382892 is about 12545.2338360032. The cubic root of 157382892 is about 539.9072680270.

The spelling of 157382892 in words is "one hundred fifty-seven million, three hundred eighty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 317 634 951 1268 1902 2853 3804 4597 5706 8559 9194 11412 13791 17118 18388 27582 34236 41373 55164 82746 124119 165492 248238 496476 1457249 2914498 4371747 5828996 8743494 13115241 17486988 26230482 39345723 52460964 78691446 157382892