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45726912 = 26327111031
BaseRepresentation
bin1010111001101…
…1110011000000
310012001011112100
42232123303000
543201230122
64312030400
71063446420
oct256336300
9105034470
1045726912
11238a2340
1213392400
13962045a
146104480
154033aac
hex2b9bcc0

45726912 has 168 divisors, whose sum is σ = 163567872. Its totient is φ = 11865600.

The previous prime is 45726899. The next prime is 45726913. The reversal of 45726912 is 21962754.

45726912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45726913) 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 23 ways as a sum of consecutive naturals, for example, 43837 + ... + 44867.

Almost surely, 245726912 is an apocalyptic number.

45726912 is a gapful number since it is divisible by the number (42) 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 45726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81783936).

45726912 is an abundant number, since it is smaller than the sum of its proper divisors (117840960).

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

45726912 is a wasteful number, since it uses less digits than its factorization.

45726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 45726912 is about 6762.1676997838. The cubic root of 45726912 is about 357.5943304958.

The spelling of 45726912 in words is "forty-five million, seven hundred twenty-six thousand, nine hundred twelve".