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256682328 = 23376832237
BaseRepresentation
bin11110100110010…
…10100101011000
3122212222210221220
433103022211120
51011202313303
641245332040
76234522660
oct1723124530
9585883856
10256682328
11121988261
1271b67020
1341242146
14261391a0
1517804053
hexf4ca958

256682328 has 64 divisors (see below), whose sum is σ = 734780160. Its totient is φ = 73197696.

The previous prime is 256682299. The next prime is 256682341. The reversal of 256682328 is 823286652.

256682328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 256682328.

It is a congruent number.

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, 113626 + ... + 115862.

It is an arithmetic number, because the mean of its divisors is an integer number (11480940).

Almost surely, 2256682328 is an apocalyptic number.

256682328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256682328 is an abundant number, since it is smaller than the sum of its proper divisors (478097832).

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

256682328 is a wasteful number, since it uses less digits than its factorization.

256682328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 256682328 is about 16021.3085607887. The cubic root of 256682328 is about 635.5240495917.

The spelling of 256682328 in words is "two hundred fifty-six million, six hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 683 1366 2049 2237 2732 4098 4474 4781 5464 6711 8196 8948 9562 13422 14343 15659 16392 17896 19124 26844 28686 31318 38248 46977 53688 57372 62636 93954 114744 125272 187908 375816 1527871 3055742 4583613 6111484 9167226 10695097 12222968 18334452 21390194 32085291 36668904 42780388 64170582 85560776 128341164 256682328