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21892896 = 253325339
BaseRepresentation
bin101001110000…
…0111100100000
31112012021102000
41103200330200
521101033041
62101124000
7354041454
oct123407440
945167360
1021892896
11113a3503
1273b9600
1346c6b9c
142c9c664
151dc6bb6
hex14e0f20

21892896 has 48 divisors (see below), whose sum is σ = 63856800. Its totient is φ = 7297344.

The previous prime is 21892877. The next prime is 21892901. The reversal of 21892896 is 69829812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11806 + ... + 13533.

It is an arithmetic number, because the mean of its divisors is an integer number (1330350).

Almost surely, 221892896 is an apocalyptic number.

It is an amenable number.

21892896 is an abundant number, since it is smaller than the sum of its proper divisors (41963904).

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

21892896 is a wasteful number, since it uses less digits than its factorization.

21892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25358 (or 25344 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 21892896 is about 4678.9845052105. The cubic root of 21892896 is about 279.7484816167.

It can be divided in two parts, 218928 and 96, that added together give a square (219024 = 4682).

The spelling of 21892896 in words is "twenty-one million, eight hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 25339 50678 76017 101356 152034 202712 228051 304068 405424 456102 608136 684153 810848 912204 1216272 1368306 1824408 2432544 2736612 3648816 5473224 7297632 10946448 21892896