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157633256 = 231110716741
BaseRepresentation
bin10010110010101…
…00101011101000
3101222121121011202
421121110223220
5310323231011
623350343332
73622601114
oct1131245350
9358547152
10157633256
1180a86220
124495ab48
1326872421
1416d14744
15dc8b23b
hex9654ae8

157633256 has 32 divisors (see below), whose sum is σ = 325464480. Its totient is φ = 70977600.

The previous prime is 157633249. The next prime is 157633261. The reversal of 157633256 is 652336751.

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 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 17786.

It is an arithmetic number, because the mean of its divisors is an integer number (10170765).

Almost surely, 2157633256 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 157633256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732240).

157633256 is an abundant number, since it is smaller than the sum of its proper divisors (167831224).

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

157633256 is a wasteful number, since it uses less digits than its factorization.

157633256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16861 counting only the distinct ones).

The product of its digits is 113400, while the sum is 38.

The square root of 157633256 is about 12555.2083216488. The cubic root of 157633256 is about 540.1934103709.

The spelling of 157633256 in words is "one hundred fifty-seven million, six hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 107 214 428 856 1177 2354 4708 9416 16741 33482 66964 133928 184151 368302 736604 1473208 1791287 3582574 7165148 14330296 19704157 39408314 78816628 157633256