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157664256 = 2103173019
BaseRepresentation
bin10010110010111…
…00010000000000
3101222200011200220
421121130100000
5310330224011
623351143040
73623060361
oct1131342000
9358604626
10157664256
1180aa7542
1244974a80
1326883579
1416d21b68
15dc95506
hex965c400

157664256 has 88 divisors (see below), whose sum is σ = 445099680. Its totient is φ = 49446912.

The previous prime is 157664231. The next prime is 157664279. The reversal of 157664256 is 652466751.

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, 50715 + ... + 53733.

Almost surely, 2157664256 is an apocalyptic number.

157664256 is a gapful number since it is divisible by the number (16) 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 157664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222549840).

157664256 is an abundant number, since it is smaller than the sum of its proper divisors (287435424).

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

157664256 is a wasteful number, since it uses less digits than its factorization.

157664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3041 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 157664256 is about 12556.4428083753. The cubic root of 157664256 is about 540.2288193502.

The spelling of 157664256 in words is "one hundred fifty-seven million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3019 3072 3264 4352 6038 6528 8704 9057 12076 13056 17408 18114 24152 26112 36228 48304 51323 52224 72456 96608 102646 144912 153969 193216 205292 289824 307938 386432 410584 579648 615876 772864 821168 1159296 1231752 1545728 1642336 2318592 2463504 3091456 3284672 4637184 4927008 6569344 9274368 9854016 13138688 19708032 26277376 39416064 52554752 78832128 157664256