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157294992 = 24331372857
BaseRepresentation
bin10010110000000…
…10000110010000
3101221222102011110
421120002012100
5310231414432
623335213320
73616661661
oct1130020620
9357872143
10157294992
1180875068
1244817240
132678447a
1416c67368
15dc20dcc
hex9602190

157294992 has 80 divisors (see below), whose sum is σ = 430940672. Its totient is φ = 49351680.

The previous prime is 157294987. The next prime is 157294993. The reversal of 157294992 is 299492751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (157294993) 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, 53628 + ... + 56484.

Almost surely, 2157294992 is an apocalyptic number.

157294992 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 157294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215470336).

157294992 is an abundant number, since it is smaller than the sum of its proper divisors (273645680).

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

157294992 is a wasteful number, since it uses less digits than its factorization.

157294992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 157294992 is about 12541.7300242032. The cubic root of 157294992 is about 539.8067346797.

The spelling of 157294992 in words is "one hundred fifty-seven million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 2294 2857 3441 4588 5714 6882 8571 9176 11428 13764 17142 18352 22856 27528 34284 45712 55056 68568 88567 105709 137136 177134 211418 265701 317127 354268 422836 531402 634254 708536 845672 1062804 1268508 1417072 1691344 2125608 2537016 3276979 4251216 5074032 6553958 9830937 13107916 19661874 26215832 39323748 52431664 78647496 157294992