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45358712 = 2372251461
BaseRepresentation
bin1010110100000…
…1111001111000
310011100110110022
42231001321320
543102434322
64300110012
71060354100
oct255017170
9104313408
1045358712
1123670743
1213235308
139521999
14604a200
153eae942
hex2b41e78

45358712 has 48 divisors (see below), whose sum is σ = 99542520. Its totient is φ = 19320000.

The previous prime is 45358711. The next prime is 45358723. The reversal of 45358712 is 21785354.

It is a happy number.

45358712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45358711) 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, 98162 + ... + 98622.

Almost surely, 245358712 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 45358712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49771260).

45358712 is an abundant number, since it is smaller than the sum of its proper divisors (54183808).

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

45358712 is a wasteful number, since it uses less digits than its factorization.

45358712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 45358712 is about 6734.8876753811. The cubic root of 45358712 is about 356.6319415732.

The spelling of 45358712 in words is "forty-five million, three hundred fifty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 251 392 461 502 922 1004 1757 1844 2008 3227 3514 3688 6454 7028 12299 12908 14056 22589 24598 25816 45178 49196 90356 98392 115711 180712 231422 462844 809977 925688 1619954 3239908 5669839 6479816 11339678 22679356 45358712