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64130928 = 2431923701
BaseRepresentation
bin1111010010100…
…0111101110000
311110200012002120
43310220331300
5112404142203
610210314240
71406050431
oct364507560
9143605076
1064130928
1133222574
1219588980
13103952c4
148735488
15596bb53
hex3d28f70

64130928 has 60 divisors (see below), whose sum is σ = 174897288. Its totient is φ = 20246400.

The previous prime is 64130921. The next prime is 64130951. The reversal of 64130928 is 82903146.

It is a super-2 number, since 2×641309282 = 8225551852282368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64130921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15478 + ... + 19178.

Almost surely, 264130928 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 64130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87448644).

64130928 is an abundant number, since it is smaller than the sum of its proper divisors (110766360).

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

64130928 is a wasteful number, since it uses less digits than its factorization.

64130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 64130928 is about 8008.1788191823. The cubic root of 64130928 is about 400.2725808736.

The spelling of 64130928 in words is "sixty-four million, one hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 3701 4332 5776 7402 8664 11103 14804 17328 22206 29608 44412 59216 70319 88824 140638 177648 210957 281276 421914 562552 843828 1125104 1336061 1687656 2672122 3375312 4008183 5344244 8016366 10688488 16032732 21376976 32065464 64130928