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45857088 = 263279613
BaseRepresentation
bin1010111011101…
…1100101000000
310012021210002200
42232323211000
543214411323
64314513200
71064531064
oct256734500
9105253080
1045857088
1123981122
1213435800
139667794
146139aa4
15405c443
hex2bbb940

45857088 has 42 divisors (see below), whose sum is σ = 131442714. Its totient is φ = 15285504.

The previous prime is 45857087. The next prime is 45857093. The reversal of 45857088 is 88075854.

45857088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23503104 + 22353984 = 4848^2 + 4728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45857081) 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 5 ways as a sum of consecutive naturals, for example, 39231 + ... + 40382.

Almost surely, 245857088 is an apocalyptic number.

45857088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45857088 is an abundant number, since it is smaller than the sum of its proper divisors (85585626).

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

45857088 is a wasteful number, since it uses less digits than its factorization.

45857088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79631 (or 79618 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 45857088 is about 6771.7861750058. The cubic root of 45857088 is about 357.9333438107.

The spelling of 45857088 in words is "forty-five million, eight hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79613 159226 238839 318452 477678 636904 716517 955356 1273808 1433034 1910712 2547616 2866068 3821424 5095232 5732136 7642848 11464272 15285696 22928544 45857088