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256138152 = 233411491747
BaseRepresentation
bin11110100010001…
…01101110101000
3122211222011111020
433101011232220
51011032410102
641225532440
76230065314
oct1721055650
9584864436
10256138152
11121646426
1271944120
13410b154a
1426036b44
1517747bbc
hexf445ba8

256138152 has 64 divisors (see below), whose sum is σ = 660744000. Its totient is φ = 82690560.

The previous prime is 256138079. The next prime is 256138177. The reversal of 256138152 is 251831652.

256138152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145743 + ... + 147489.

It is an arithmetic number, because the mean of its divisors is an integer number (10324125).

Almost surely, 2256138152 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 256138152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330372000).

256138152 is an abundant number, since it is smaller than the sum of its proper divisors (404605848).

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

256138152 is a wasteful number, since it uses less digits than its factorization.

256138152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1942 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 256138152 is about 16004.3166676994. The cubic root of 256138152 is about 635.0746203668.

The spelling of 256138152 in words is "two hundred fifty-six million, one hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 149 164 246 298 328 447 492 596 894 984 1192 1747 1788 3494 3576 5241 6109 6988 10482 12218 13976 18327 20964 24436 36654 41928 48872 71627 73308 143254 146616 214881 260303 286508 429762 520606 573016 780909 859524 1041212 1561818 1719048 2082424 3123636 6247272 10672423 21344846 32017269 42689692 64034538 85379384 128069076 256138152