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21887808 = 263293931
BaseRepresentation
bin101001101111…
…1101101000000
31112012000102120
41103133231000
521100402213
62101044240
7354020565
oct123375500
945160376
1021887808
111139a6a8
1273b6680
1346c4787
142c9a86c
151dc5423
hex14dfb40

21887808 has 56 divisors (see below), whose sum is σ = 59923680. Its totient is φ = 7042560.

The previous prime is 21887807. The next prime is 21887821. The reversal of 21887808 is 80878812.

It is a happy number.

It is a super-2 number, since 2×218878082 = 958152278089728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21887808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21887807) 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, 3603 + ... + 7533.

Almost surely, 221887808 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 21887808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29961840).

21887808 is an abundant number, since it is smaller than the sum of its proper divisors (38035872).

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

21887808 is a wasteful number, since it uses less digits than its factorization.

21887808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 21887808 is about 4678.4407658963. The cubic root of 21887808 is about 279.7268083678.

The spelling of 21887808 in words is "twenty-one million, eight hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 3931 5568 7862 11793 15724 23586 31448 47172 62896 94344 113999 125792 188688 227998 251584 341997 377376 455996 683994 754752 911992 1367988 1823984 2735976 3647968 5471952 7295936 10943904 21887808