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256056424 = 231323167641
BaseRepresentation
bin11110100001100…
…01110001101000
3122211211000101021
433100301301220
51011022301144
641224102224
76226305121
oct1720616150
9584730337
10256056424
1112159aa88
1271904974
13410832a0
1426015048
151772d884
hexf431c68

256056424 has 64 divisors (see below), whose sum is σ = 543594240. Its totient is φ = 112189440.

The previous prime is 256056421. The next prime is 256056461. The reversal of 256056424 is 424650652.

It is a self number, because there is not a number n which added to its sum of digits gives 256056424.

It is not an unprimeable number, because it can be changed into a prime (256056421) 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 15 ways as a sum of consecutive naturals, for example, 399144 + ... + 399784.

It is an arithmetic number, because the mean of its divisors is an integer number (8493660).

Almost surely, 2256056424 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 256056424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271797120).

256056424 is an abundant number, since it is smaller than the sum of its proper divisors (287537816).

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

256056424 is a wasteful number, since it uses less digits than its factorization.

256056424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 256056424 is about 16001.7631528529. The cubic root of 256056424 is about 635.0070671088.

The spelling of 256056424 in words is "two hundred fifty-six million, fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 167 184 299 334 598 641 668 1196 1282 1336 2171 2392 2564 3841 4342 5128 7682 8333 8684 14743 15364 16666 17368 29486 30728 33332 49933 58972 66664 99866 107047 117944 191659 199732 214094 383318 399464 428188 766636 856376 1391611 1533272 2462081 2783222 4924162 5566444 9848324 11132888 19696648 32007053 64014106 128028212 256056424