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256423504 = 24236111423
BaseRepresentation
bin11110100100010…
…11011001010000
3122212111122220211
433102023121100
51011121023004
641240013504
76232364251
oct1722133120
9585448824
10256423504
11121820857
1271a61294
13411813ac
14260acb28
15177a2504
hexf48b650

256423504 has 40 divisors (see below), whose sum is σ = 526966272. Its totient is φ = 120616320.

The previous prime is 256423501. The next prime is 256423561. The reversal of 256423504 is 405324652.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256423501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16737 + ... + 28159.

Almost surely, 2256423504 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 256423504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263483136).

256423504 is an abundant number, since it is smaller than the sum of its proper divisors (270542768).

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

256423504 is a wasteful number, since it uses less digits than its factorization.

256423504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 256423504 is about 16013.2290310231. The cubic root of 256423504 is about 635.3103688707.

The spelling of 256423504 in words is "two hundred fifty-six million, four hundred twenty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 488 976 1403 2806 5612 11224 11423 22448 22846 45692 91384 182768 262729 525458 696803 1050916 1393606 2101832 2787212 4203664 5574424 11148848 16026469 32052938 64105876 128211752 256423504