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90790656 = 283112977
BaseRepresentation
bin1010110100101…
…01101100000000
320022211122100220
411122111230000
5141220300111
613001543040
72151464535
oct532255400
9208748326
1090790656
1147281400
12264a4a80
1315a6aaa8
14c0b4d8c
157e85e06
hex5695b00

90790656 has 108 divisors (see below), whose sum is σ = 265871256. Its totient is φ = 27484160.

The previous prime is 90790633. The next prime is 90790657. The reversal of 90790656 is 65609709.

It is not an unprimeable number, because it can be changed into a prime (90790657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92440 + ... + 93416.

Almost surely, 290790656 is an apocalyptic number.

90790656 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 90790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935628).

90790656 is an abundant number, since it is smaller than the sum of its proper divisors (175080600).

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

90790656 is a wasteful number, since it uses less digits than its factorization.

90790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 90790656 is about 9528.4130892820. The cubic root of 90790656 is about 449.4489650271.

The spelling of 90790656 in words is "ninety million, seven hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 977 1056 1408 1452 1936 1954 2112 2816 2904 2931 3872 3908 4224 5808 5862 7744 7816 8448 10747 11616 11724 15488 15632 21494 23232 23448 30976 31264 32241 42988 46464 46896 62528 64482 85976 92928 93792 118217 125056 128964 171952 187584 236434 250112 257928 343904 354651 375168 472868 515856 687808 709302 750336 945736 1031712 1375616 1418604 1891472 2063424 2751232 2837208 3782944 4126848 5674416 7565888 8253696 11348832 15131776 22697664 30263552 45395328 90790656