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45882112 = 28199433
BaseRepresentation
bin1010111100000…
…1101100000000
310012100001102111
42233001230000
543221211422
64315225104
71064664043
oct257015400
9105301374
1045882112
1123998a01
1213448194
139675ca3
146144c5a
154064a77
hex2bc1b00

45882112 has 36 divisors (see below), whose sum is σ = 96415480. Its totient is φ = 21731328.

The previous prime is 45882107. The next prime is 45882113. The reversal of 45882112 is 21128854.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45882113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148 + ... + 9580.

Almost surely, 245882112 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 45882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48207740).

45882112 is an abundant number, since it is smaller than the sum of its proper divisors (50533368).

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

45882112 is an equidigital number, since it uses as much as digits as its factorization.

45882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9454 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 45882112 is about 6773.6335891455. The cubic root of 45882112 is about 357.9984394926.

The spelling of 45882112 in words is "forty-five million, eight hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 9433 18866 37732 75464 150928 179227 301856 358454 603712 716908 1207424 1433816 2414848 2867632 5735264 11470528 22941056 45882112