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64132056 = 23323159487
BaseRepresentation
bin1111010010100…
…1001111011000
311110200020122100
43310221033120
5112404211211
610210323400
71406053632
oct364511730
9143606570
1064132056
11332233aa
1219589560
1310395981
148735a52
15596c156
hex3d293d8

64132056 has 96 divisors (see below), whose sum is σ = 182707200. Its totient is φ = 20295360.

The previous prime is 64132051. The next prime is 64132069. The reversal of 64132056 is 65023146.

It is a super-2 number, since 2×641320562 = 8225841213574272, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64132051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131445 + ... + 131931.

It is an arithmetic number, because the mean of its divisors is an integer number (1903200).

Almost surely, 264132056 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 64132056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91353600).

64132056 is an abundant number, since it is smaller than the sum of its proper divisors (118575144).

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

64132056 is a wasteful number, since it uses less digits than its factorization.

64132056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64132056 is about 8008.2492468704. The cubic root of 64132056 is about 400.2749276603.

The spelling of 64132056 in words is "sixty-four million, one hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 354 372 472 487 531 558 708 744 974 1062 1116 1416 1461 1829 1948 2124 2232 2922 3658 3896 4248 4383 5487 5844 7316 8766 10974 11688 14632 15097 16461 17532 21948 28733 30194 32922 35064 43896 45291 57466 60388 65844 86199 90582 114932 120776 131688 135873 172398 181164 229864 258597 271746 344796 362328 517194 543492 689592 890723 1034388 1086984 1781446 2068776 2672169 3562892 5344338 7125784 8016507 10688676 16033014 21377352 32066028 64132056