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157373056 = 27792197
BaseRepresentation
bin10010110000101…
…01001010000000
3101222010101020201
421120111022000
5310241414211
623341014544
73620435401
oct1130251200
9358111221
10157373056
1180918785
1244854454
13267b0b69
1416c879a8
15dc390c1
hex9615280

157373056 has 48 divisors (see below), whose sum is σ = 319147290. Its totient is φ = 77296128.

The previous prime is 157373039. The next prime is 157373057. The reversal of 157373056 is 650373751.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 67502656 = 9480^2 + 8216^2 .

It is not an unprimeable number, because it can be changed into a prime (157373057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 798750 + ... + 798946.

Almost surely, 2157373056 is an apocalyptic number.

157373056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157373056 is the 6706-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157373056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159573645).

157373056 is an abundant number, since it is smaller than the sum of its proper divisors (161774234).

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

157373056 is an frugal number, since it uses more digits than its factorization.

157373056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 157373056 is about 12544.8418084885. The cubic root of 157373056 is about 539.8960202172.

The spelling of 157373056 in words is "one hundred fifty-seven million, three hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 197 316 394 632 788 1264 1576 2528 3152 5056 6241 6304 10112 12482 12608 15563 24964 25216 31126 49928 62252 99856 124504 199712 249008 399424 498016 798848 996032 1229477 1992064 2458954 4917908 9835816 19671632 39343264 78686528 157373056