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64938672 = 243489563
BaseRepresentation
bin1111011110111…
…0001010110000
311112012020010000
43313232022300
5113111014142
610235510000
71415653401
oct367561260
9145166100
1064938672
1133724427
12198b8300
13105b8b66
1488a59a8
155a7b14c
hex3dee2b0

64938672 has 100 divisors (see below), whose sum is σ = 190400760. Its totient is φ = 21364992.

The previous prime is 64938661. The next prime is 64938689. The reversal of 64938672 is 27683946.

It is a super-2 number, since 2×649386722 = 8434062242247168, which contains 22 as substring.

Its product of digits (435456) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115063 + ... + 115625.

Almost surely, 264938672 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 64938672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95200380).

64938672 is an abundant number, since it is smaller than the sum of its proper divisors (125462088).

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

64938672 is a wasteful number, since it uses less digits than its factorization.

64938672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64938672 is about 8058.4534496391. The cubic root of 64938672 is about 401.9460832122.

The spelling of 64938672 in words is "sixty-four million, nine hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 563 648 712 801 1068 1126 1296 1424 1602 1689 2136 2252 2403 3204 3378 4272 4504 4806 5067 6408 6756 7209 9008 9612 10134 12816 13512 14418 15201 19224 20268 27024 28836 30402 38448 40536 45603 50107 57672 60804 81072 91206 100214 115344 121608 150321 182412 200428 243216 300642 364824 400856 450963 601284 729648 801712 901926 1202568 1352889 1803852 2405136 2705778 3607704 4058667 5411556 7215408 8117334 10823112 16234668 21646224 32469336 64938672