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64679628 = 2231317293
BaseRepresentation
bin1111011010111…
…0111011001100
311111201001202210
43312232323030
5113024222003
610230150420
71413524226
oct366567314
9144631683
1064679628
1133567842
12197b2410
1310527c90
148839416
155a29503
hex3daeecc

64679628 has 96 divisors (see below), whose sum is σ = 178234560. Its totient is φ = 18084864.

The previous prime is 64679579. The next prime is 64679633. The reversal of 64679628 is 82697646.

Its product of digits (870912) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230318 + ... + 2230346.

It is an arithmetic number, because the mean of its divisors is an integer number (1856610).

Almost surely, 264679628 is an apocalyptic number.

64679628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64679628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89117280).

64679628 is an abundant number, since it is smaller than the sum of its proper divisors (113554932).

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

64679628 is a wasteful number, since it uses less digits than its factorization.

64679628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 64 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 64679628 is about 8042.3645776600. The cubic root of 64679628 is about 401.4109091537.

The spelling of 64679628 in words is "sixty-four million, six hundred seventy-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 174 204 221 348 377 442 493 663 754 841 884 986 1131 1326 1479 1508 1682 1972 2262 2523 2652 2958 3364 4524 5046 5916 6409 10092 10933 12818 14297 19227 21866 24389 25636 28594 32799 38454 42891 43732 48778 57188 65598 73167 76908 85782 97556 131196 146334 171564 185861 292668 317057 371722 414613 557583 634114 743444 829226 951171 1115166 1243839 1268228 1658452 1902342 2230332 2487678 3804684 4975356 5389969 10779938 16169907 21559876 32339814 64679628