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157396152 = 233191811907
BaseRepresentation
bin10010110000110…
…10110010111000
3101222011112221010
421120122302320
5310243134102
623341313520
73620562624
oct1130326270
9358145833
10157396152
1180934071
12448658a0
13267bb524
1416c92184
15dc40d6c
hex961acb8

157396152 has 64 divisors (see below), whose sum is σ = 416707200. Its totient is φ = 49403520.

The previous prime is 157396147. The next prime is 157396163. The reversal of 157396152 is 251693751.

It is a self number, because there is not a number n which added to its sum of digits gives 157396152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81583 + ... + 83489.

It is an arithmetic number, because the mean of its divisors is an integer number (6511050).

Almost surely, 2157396152 is an apocalyptic number.

157396152 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 157396152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208353600).

157396152 is an abundant number, since it is smaller than the sum of its proper divisors (259311048).

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

157396152 is a wasteful number, since it uses less digits than its factorization.

157396152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 157396152 is about 12545.7623124304. The cubic root of 157396152 is about 539.9224305589.

The spelling of 157396152 in words is "one hundred fifty-seven million, three hundred ninety-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 181 228 362 456 543 724 1086 1448 1907 2172 3439 3814 4344 5721 6878 7628 10317 11442 13756 15256 20634 22884 27512 36233 41268 45768 72466 82536 108699 144932 217398 289864 345167 434796 690334 869592 1035501 1380668 2071002 2761336 4142004 6558173 8284008 13116346 19674519 26232692 39349038 52465384 78698076 157396152