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157415312 = 24231034153
BaseRepresentation
bin10010110000111…
…11011110010000
3101222012112012202
421120133132100
5310244242222
623341542332
73621002525
oct1130373620
9358175182
10157415312
11809474aa
12448749a8
13267c7172
1416c9914c
15dc46892
hex961f790

157415312 has 40 divisors (see below), whose sum is σ = 321419904. Its totient is φ = 74536704.

The previous prime is 157415309. The next prime is 157415347. The reversal of 157415312 is 213514751.

157415312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35828 + ... + 39980.

Almost surely, 2157415312 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 157415312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160709952).

157415312 is an abundant number, since it is smaller than the sum of its proper divisors (164004592).

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

157415312 is a wasteful number, since it uses less digits than its factorization.

157415312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4281 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 157415312 is about 12546.5258936488. The cubic root of 157415312 is about 539.9443381127.

The spelling of 157415312 in words is "one hundred fifty-seven million, four hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 2369 4153 4738 8306 9476 16612 18952 33224 37904 66448 95519 191038 382076 427759 764152 855518 1528304 1711036 3422072 6844144 9838457 19676914 39353828 78707656 157415312