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91990656 = 2732471699
BaseRepresentation
bin1010111101110…
…10101010000000
320102002121110100
411132322222000
5142022200111
613043402400
72164623222
oct536725200
9212077410
1091990656
1147a20a3a
1226983400
131609b054
14c308412
158121756
hex57baa80

91990656 has 96 divisors (see below), whose sum is σ = 270504000. Its totient is φ = 29993472.

The previous prime is 91990651. The next prime is 91990673. The reversal of 91990656 is 65609919.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (91990651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53295 + ... + 54993.

It is an arithmetic number, because the mean of its divisors is an integer number (2817750).

Almost surely, 291990656 is an apocalyptic number.

91990656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135252000).

91990656 is an abundant number, since it is smaller than the sum of its proper divisors (178513344).

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

91990656 is a wasteful number, since it uses less digits than its factorization.

91990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 91990656 is about 9591.1759445857. The cubic root of 91990656 is about 451.4204596401.

The spelling of 91990656 in words is "ninety-one million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 1699 2256 3008 3384 3398 4512 5097 6016 6768 6796 9024 10194 13536 13592 15291 18048 20388 27072 27184 30582 40776 54144 54368 61164 79853 81552 108736 122328 159706 163104 217472 239559 244656 319412 326208 479118 489312 638824 652416 718677 958236 978624 1277648 1437354 1916472 1957248 2555296 2874708 3832944 5110592 5749416 7665888 10221184 11498832 15331776 22997664 30663552 45995328 91990656