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45044964 = 22331133691
BaseRepresentation
bin1010101111010…
…1010011100100
310010202112002000
42223311103210
543012414324
64245245300
71054606266
oct253652344
9103675060
1045044964
1123476a48
1213103830
139441c33
145da7b36
153e4b9c9
hex2af54e4

45044964 has 48 divisors (see below), whose sum is σ = 117848640. Its totient is φ = 14878080.

The previous prime is 45044963. The next prime is 45044969. The reversal of 45044964 is 46944054.

It is a super-2 number, since 2×450449642 = 4058097563522592, which contains 22 as substring.

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 (45044963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10359 + ... + 14049.

It is an arithmetic number, because the mean of its divisors is an integer number (2455180).

Almost surely, 245044964 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 45044964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924320).

45044964 is an abundant number, since it is smaller than the sum of its proper divisors (72803676).

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

45044964 is a wasteful number, since it uses less digits than its factorization.

45044964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45044964 is about 6711.5545144177. The cubic root of 45044964 is about 355.8077592727.

The spelling of 45044964 in words is "forty-five million, forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 3691 4068 6102 7382 11073 12204 14764 22146 33219 44292 66438 99657 132876 199314 398628 417083 834166 1251249 1668332 2502498 3753747 5004996 7507494 11261241 15014988 22522482 45044964