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152054256 = 24317316011
BaseRepresentation
bin10010001000000…
…10100111110000
3101121010011020010
421010002213300
5302411214011
623031014520
73524303604
oct1104024760
9347104203
10152054256
1178915682
1242b0a440
132566ac43
14162a1504
15d5381a6
hex91029f0

152054256 has 80 divisors (see below), whose sum is σ = 429401088. Its totient is φ = 46156800.

The previous prime is 152054251. The next prime is 152054261. The reversal of 152054256 is 652450251.

It is an interprime number because it is at equal distance from previous prime (152054251) and next prime (152054261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152054251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22291 + ... + 28301.

Almost surely, 2152054256 is an apocalyptic number.

152054256 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 152054256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214700544).

152054256 is an abundant number, since it is smaller than the sum of its proper divisors (277346832).

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

152054256 is a wasteful number, since it uses less digits than its factorization.

152054256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 152054256 is about 12331.0281809750. The cubic root of 152054256 is about 533.7438207871.

The spelling of 152054256 in words is "one hundred fifty-two million, fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 6011 6324 8432 12022 12648 18033 24044 25296 36066 48088 72132 96176 102187 144264 186341 204374 288528 306561 372682 408748 559023 613122 745364 817496 1118046 1226244 1490728 1634992 2236092 2452488 2981456 3167797 4472184 4904976 6335594 8944368 9503391 12671188 19006782 25342376 38013564 50684752 76027128 152054256