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90724972 = 221323312447
BaseRepresentation
bin1010110100001…
…01101001101100
320022201022021011
411122011221230
5141211144342
613000315004
72151102202
oct532055154
9208638234
1090724972
1147237018
1226472a64
1315a46c20
14c099072
157e71717
hex5685a6c

90724972 has 48 divisors (see below), whose sum is σ = 184246272. Its totient is φ = 38744640.

The previous prime is 90724957. The next prime is 90724987. The reversal of 90724972 is 27942709.

It is an interprime number because it is at equal distance from previous prime (90724957) and next prime (90724987).

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, 35853 + ... + 38299.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 290724972 is an apocalyptic number.

90724972 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

90724972 is an abundant number, since it is smaller than the sum of its proper divisors (93521300).

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

90724972 is a wasteful number, since it uses less digits than its factorization.

90724972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 90724972 is about 9524.9657217231. The cubic root of 90724972 is about 449.3405517854.

The spelling of 90724972 in words is "ninety million, seven hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 23 26 31 46 52 62 92 124 299 403 598 713 806 1196 1426 1612 2447 2852 4894 9269 9788 18538 31811 37076 56281 63622 75857 112562 127244 151714 225124 303428 731653 986141 1463306 1744711 1972282 2926612 3489422 3944564 6978844 22681243 45362486 90724972