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64283904 = 283227901
BaseRepresentation
bin1111010100111…
…0010100000000
311110221221221100
43311032110000
5112424041104
610213454400
71410255426
oct365162400
9143857840
1064283904
11333174a3
1219641400
1310419b19
148775116
15599c139
hex3d4e500

64283904 has 54 divisors (see below), whose sum is σ = 185352986. Its totient is φ = 21427200.

The previous prime is 64283833. The next prime is 64283917. The reversal of 64283904 is 40938246.

It is a happy number.

64283904 is a `hidden beast` number, since 642 + 8 + 3 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 1557504 = 7920^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11647 + ... + 16254.

Almost surely, 264283904 is an apocalyptic number.

64283904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64283904 is an abundant number, since it is smaller than the sum of its proper divisors (121069082).

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

64283904 is a wasteful number, since it uses less digits than its factorization.

64283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27923 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 64283904 is about 8017.7243654294. The cubic root of 64283904 is about 400.5905942336.

The spelling of 64283904 in words is "sixty-four million, two hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 27901 55802 83703 111604 167406 223208 251109 334812 446416 502218 669624 892832 1004436 1339248 1785664 2008872 2678496 3571328 4017744 5356992 7142656 8035488 10713984 16070976 21427968 32141952 64283904