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91890656 = 25111343467
BaseRepresentation
bin1010111101000…
…10001111100000
320101220112021122
411132202033200
5142011000111
613041311412
72164025534
oct536421740
9211815248
1091890656
11479628a0
1226935568
1316064690
14c2bdbc4
158101cdb
hex57a23e0

91890656 has 96 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 37578240.

The previous prime is 91890629. The next prime is 91890677. The reversal of 91890656 is 65609819.

It is a super-2 number, since 2×918906562 = 16887785320220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196535 + ... + 197001.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 291890656 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 91890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

91890656 is an abundant number, since it is smaller than the sum of its proper divisors (126055072).

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

91890656 is a wasteful number, since it uses less digits than its factorization.

91890656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 91890656 is about 9585.9614019669. The cubic root of 91890656 is about 451.2568255810.

The spelling of 91890656 in words is "ninety-one million, eight hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 86 88 104 143 172 176 208 286 344 352 416 467 473 559 572 688 934 946 1118 1144 1376 1868 1892 2236 2288 3736 3784 4472 4576 5137 6071 6149 7472 7568 8944 10274 12142 12298 14944 15136 17888 20081 20548 24284 24596 40162 41096 48568 49192 66781 80324 82192 97136 98384 133562 160648 164384 194272 196768 220891 261053 267124 321296 441782 522106 534248 642592 883564 1044212 1068496 1767128 2088424 2136992 2871583 3534256 4176848 5743166 7068512 8353696 11486332 22972664 45945328 91890656