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64267952 = 2472412381
BaseRepresentation
bin1111010100101…
…0011010110000
311110221011001112
43311022122300
5112423033302
610213252452
71410161060
oct365123260
9143834045
1064267952
1133306511
1219634128
1310412798
14876d3a0
155997552
hex3d4a6b0

64267952 has 40 divisors (see below), whose sum is σ = 142958112. Its totient is φ = 27417600.

The previous prime is 64267949. The next prime is 64267961. The reversal of 64267952 is 25976246.

64267952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 25802 + ... + 28182.

Almost surely, 264267952 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 64267952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71479056).

64267952 is an abundant number, since it is smaller than the sum of its proper divisors (78690160).

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

64267952 is a wasteful number, since it uses less digits than its factorization.

64267952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 64267952 is about 8016.7295077232. The cubic root of 64267952 is about 400.5574560792.

The spelling of 64267952 in words is "sixty-four million, two hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 2381 3374 3856 4762 6748 9524 13496 16667 19048 26992 33334 38096 66668 133336 266672 573821 1147642 2295284 4016747 4590568 8033494 9181136 16066988 32133976 64267952