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90863928 = 233219127523
BaseRepresentation
bin1010110101001…
…11100100111000
320022222100212200
411122213210320
5141230121203
613003310200
72152221261
oct532474470
9208870780
1090863928
1147321461
122651b360
1315a9524c
14c0d3968
157e9c9a3
hex56a7938

90863928 has 96 divisors (see below), whose sum is σ = 261580800. Its totient is φ = 28413504.

The previous prime is 90863917. The next prime is 90863951. The reversal of 90863928 is 82936809.

90863928 is a `hidden beast` number, since 9 + 0 + 8 + 639 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173475 + ... + 173997.

It is an arithmetic number, because the mean of its divisors is an integer number (2724800).

Almost surely, 290863928 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 90863928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130790400).

90863928 is an abundant number, since it is smaller than the sum of its proper divisors (170716872).

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

90863928 is a wasteful number, since it uses less digits than its factorization.

90863928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 90863928 is about 9532.2572353037. The cubic root of 90863928 is about 449.5698407897.

The spelling of 90863928 in words is "ninety million, eight hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 127 152 171 228 254 342 381 456 508 523 684 762 1016 1046 1143 1368 1524 1569 2092 2286 2413 3048 3138 4184 4572 4707 4826 6276 7239 9144 9414 9652 9937 12552 14478 18828 19304 19874 21717 28956 29811 37656 39748 43434 57912 59622 66421 79496 86868 89433 119244 132842 173736 178866 199263 238488 265684 357732 398526 531368 597789 715464 797052 1195578 1261999 1594104 2391156 2523998 3785997 4782312 5047996 7571994 10095992 11357991 15143988 22715982 30287976 45431964 90863928