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47444064 = 253192372
BaseRepresentation
bin1011010011111…
…1000001100000
310022021102000120
42310333001200
544121202224
64412520240
71114160613
oct264770140
9108242016
1047444064
1124865478
1213a80080
139aa1c15
14643017a
154272779
hex2d3f060

47444064 has 108 divisors (see below), whose sum is σ = 135088884. Its totient is φ = 14577408.

The previous prime is 47444051. The next prime is 47444071. The reversal of 47444064 is 46044474.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1282254 + ... + 1282290.

It is an arithmetic number, because the mean of its divisors is an integer number (1250823).

Almost surely, 247444064 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 47444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67544442).

47444064 is an abundant number, since it is smaller than the sum of its proper divisors (87644820).

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

47444064 is a wasteful number, since it uses less digits than its factorization.

47444064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 47444064 is about 6887.9651567063. The cubic root of 47444064 is about 362.0156073163.

The spelling of 47444064 in words is "forty-seven million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 222 228 296 304 361 444 456 592 608 703 722 888 912 1083 1184 1369 1406 1444 1776 1824 2109 2166 2738 2812 2888 3552 4107 4218 4332 5476 5624 5776 8214 8436 8664 10952 11248 11552 13357 16428 16872 17328 21904 22496 26011 26714 32856 33744 34656 40071 43808 52022 53428 65712 67488 78033 80142 104044 106856 131424 156066 160284 208088 213712 312132 320568 416176 427424 494209 624264 641136 832352 988418 1248528 1282272 1482627 1976836 2497056 2965254 3953672 5930508 7907344 11861016 15814688 23722032 47444064