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21282864 = 2433114303
BaseRepresentation
bin101000100110…
…0000000110000
31111001021121020
41101030000300
520422022424
62040055440
7345621111
oct121140060
944037536
1021282864
1111017149
127164580
134542315
142b80208
151d06079
hex144c030

21282864 has 40 divisors (see below), whose sum is σ = 56758272. Its totient is φ = 6864960.

The previous prime is 21282857. The next prime is 21282871. The reversal of 21282864 is 46828212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21282857) and next prime (21282871).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5664 + ... + 8639.

Almost surely, 221282864 is an apocalyptic number.

21282864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21282864 is an abundant number, since it is smaller than the sum of its proper divisors (35475408).

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

21282864 is a wasteful number, since it uses less digits than its factorization.

21282864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14339 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 21282864 is about 4613.3354527933. The cubic root of 21282864 is about 277.1256277848.

The spelling of 21282864 in words is "twenty-one million, two hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 14303 28606 42909 57212 85818 114424 171636 228848 343272 443393 686544 886786 1330179 1773572 2660358 3547144 5320716 7094288 10641432 21282864