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256241124 = 223310921767
BaseRepresentation
bin11110100010111…
…10110111100100
3122212011101202000
433101132313210
51011044203444
641232045300
76231004446
oct1721366744
9585141660
10256241124
11121706827
1271993830
1341119389
1426062496
1517768469
hexf45ede4

256241124 has 48 divisors (see below), whose sum is σ = 670454400. Its totient is φ = 84626208.

The previous prime is 256241107. The next prime is 256241147. The reversal of 256241124 is 421142652.

256241124 is a `hidden beast` number, since 2 + 5 + 624 + 11 + 24 = 666.

256241124 is digitally balanced in base 3, 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889 + ... + 22655.

It is an arithmetic number, because the mean of its divisors is an integer number (13967800).

Almost surely, 2256241124 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 256241124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335227200).

256241124 is an abundant number, since it is smaller than the sum of its proper divisors (414213276).

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

256241124 is a wasteful number, since it uses less digits than its factorization.

256241124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889 (or 21881 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 256241124 is about 16007.5333515192. The cubic root of 256241124 is about 635.1597126525.

Adding to 256241124 its reverse (421142652), we get a palindrome (677383776).

The spelling of 256241124 in words is "two hundred fifty-six million, two hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 21767 43534 65301 87068 130602 195903 261204 391806 587709 783612 1175418 2350836 2372603 4745206 7117809 9490412 14235618 21353427 28471236 42706854 64060281 85413708 128120562 256241124