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21856256 = 2152329
BaseRepresentation
bin101001101100…
…0000000000000
31112010102010222
41103120000000
521043400011
62100242212
7353526602
oct123300000
945112128
1021856256
1111378a24
1273a0368
1346b32c6
142c8d172
151dbaddb
hex14d8000

21856256 has 64 divisors (see below), whose sum is σ = 47185200. Its totient is φ = 10092544.

The previous prime is 21856253. The next prime is 21856267. The reversal of 21856256 is 65265812.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×218562563 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21856253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753650 + ... + 753678.

Almost surely, 221856256 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 21856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592600).

21856256 is an abundant number, since it is smaller than the sum of its proper divisors (25328944).

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

21856256 is an frugal number, since it uses more digits than its factorization.

21856256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 21856256 is about 4675.0674861439. The cubic root of 21856256 is about 279.5923319107.

The spelling of 21856256 in words is "twenty-one million, eight hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 512 667 736 928 1024 1334 1472 1856 2048 2668 2944 3712 4096 5336 5888 7424 8192 10672 11776 14848 16384 21344 23552 29696 32768 42688 47104 59392 85376 94208 118784 170752 188416 237568 341504 376832 475136 683008 753664 950272 1366016 2732032 5464064 10928128 21856256