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157292512 = 25133112197
BaseRepresentation
bin10010110000000…
…01011111100000
3101221222021202121
421120001133200
5310231330022
623335154024
73616651516
oct1130013740
9357867677
10157292512
1180873213
1244815914
13267832c0
1416c664b6
15dc202c7
hex96017e0

157292512 has 48 divisors (see below), whose sum is σ = 344276352. Its totient is φ = 70248960.

The previous prime is 157292467. The next prime is 157292533. The reversal of 157292512 is 215292751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6798 + ... + 18994.

It is an arithmetic number, because the mean of its divisors is an integer number (7172424).

Almost surely, 2157292512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157292512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172138176).

157292512 is an abundant number, since it is smaller than the sum of its proper divisors (186983840).

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

157292512 is a wasteful number, since it uses less digits than its factorization.

157292512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251 (or 12243 counting only the distinct ones).

The product of its digits is 12600, while the sum is 34.

The square root of 157292512 is about 12541.6311538811. The cubic root of 157292512 is about 539.8038977008.

The spelling of 157292512 in words is "one hundred fifty-seven million, two hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12197 12896 24394 48788 97576 158561 195152 317122 378107 390304 634244 756214 1268488 1512428 2536976 3024856 4915391 5073952 6049712 9830782 12099424 19661564 39323128 78646256 157292512