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21385824 = 253367607
BaseRepresentation
bin101000110010…
…1001001100000
31111020111211120
41101211021200
520433321244
62042212240
7346530225
oct121451140
944214746
1021385824
1111087539
1271b4080
13457a145
142ba994c
151d26819
hex1465260

21385824 has 48 divisors (see below), whose sum is σ = 56383488. Its totient is φ = 7097472.

The previous prime is 21385823. The next prime is 21385843. The reversal of 21385824 is 42858312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21385823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34929 + ... + 35535.

It is an arithmetic number, because the mean of its divisors is an integer number (1174656).

Almost surely, 221385824 is an apocalyptic number.

21385824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21385824 is an abundant number, since it is smaller than the sum of its proper divisors (34997664).

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

21385824 is a wasteful number, since it uses less digits than its factorization.

21385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 21385824 is about 4624.4809438466. The cubic root of 21385824 is about 277.5717921547.

The spelling of 21385824 in words is "twenty-one million, three hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 607 734 1101 1214 1468 1821 2202 2428 2936 3642 4404 4856 5872 7284 8808 9712 11744 14568 17616 19424 29136 35232 58272 222769 445538 668307 891076 1336614 1782152 2673228 3564304 5346456 7128608 10692912 21385824