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157495552 = 282772221
BaseRepresentation
bin10010110001100…
…11000100000000
3101222100121021121
421120303010000
5310304324202
623343402024
73621455464
oct1130630400
9358317247
10157495552
11809a1815
12448b3314
1326824846
1416cba4a4
15dc60537
hex9633100

157495552 has 36 divisors (see below), whose sum is σ = 315652876. Its totient is φ = 78428160.

The previous prime is 157495519. The next prime is 157495561. The reversal of 157495552 is 255594751.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 92467456 = 8064^2 + 9616^2 .

Its product of digits (315000) is a multiple of the sum of its prime divisors (2500).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 157495499 and 157495508.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69802 + ... + 72022.

Almost surely, 2157495552 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 157495552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157826438).

157495552 is an abundant number, since it is smaller than the sum of its proper divisors (158157324).

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

157495552 is an equidigital number, since it uses as much as digits as its factorization.

157495552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2500 counting only the distinct ones).

The product of its digits is 315000, while the sum is 43.

The square root of 157495552 is about 12549.7231841981. The cubic root of 157495552 is about 540.0360652638.

The spelling of 157495552 in words is "one hundred fifty-seven million, four hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 277 554 1108 2216 2221 4432 4442 8864 8884 17728 17768 35456 35536 70912 71072 142144 284288 568576 615217 1230434 2460868 4921736 9843472 19686944 39373888 78747776 157495552