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152162256 = 243109127229
BaseRepresentation
bin10010001000111…
…00111111010000
3101121022122101010
421010130333100
5302423143011
623033210520
73525233511
oct1104347720
9347278333
10152162256
1178989834
1242b60a40
13256a814c
14162cca08
15d55a1a6
hex911cfd0

152162256 has 80 divisors (see below), whose sum is σ = 401561600. Its totient is φ = 49641984.

The previous prime is 152162249. The next prime is 152162261. The reversal of 152162256 is 652261251.

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, 664350 + ... + 664578.

It is an arithmetic number, because the mean of its divisors is an integer number (5019520).

Almost surely, 2152162256 is an apocalyptic number.

152162256 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 152162256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200780800).

152162256 is an abundant number, since it is smaller than the sum of its proper divisors (249399344).

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

152162256 is a wasteful number, since it uses less digits than its factorization.

152162256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 152162256 is about 12335.4066005138. The cubic root of 152162256 is about 533.8701587838.

The spelling of 152162256 in words is "one hundred fifty-two million, one hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 127 218 229 254 327 381 436 458 508 654 687 762 872 916 1016 1308 1374 1524 1744 1832 2032 2616 2748 3048 3664 5232 5496 6096 10992 13843 24961 27686 29083 41529 49922 55372 58166 74883 83058 87249 99844 110744 116332 149766 166116 174498 199688 221488 232664 299532 332232 348996 399376 465328 599064 664464 697992 1198128 1395984 3170047 6340094 9510141 12680188 19020282 25360376 38040564 50720752 76081128 152162256