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45264552 = 23323431907
BaseRepresentation
bin1010110010101…
…0111010101000
310011011200021220
42230222322220
543041431202
64254102040
71056512424
oct254527250
9104150256
1045264552
1123606a23
12131aa920
1394bab78
146023b84
153e91abc
hex2b2aea8

45264552 has 64 divisors (see below), whose sum is σ = 120890880. Its totient is φ = 14089152.

The previous prime is 45264547. The next prime is 45264553. The reversal of 45264552 is 25546254.

45264552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45264553) 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 15 ways as a sum of consecutive naturals, for example, 22783 + ... + 24689.

It is an arithmetic number, because the mean of its divisors is an integer number (1888920).

Almost surely, 245264552 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 45264552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60445440).

45264552 is an abundant number, since it is smaller than the sum of its proper divisors (75626328).

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

45264552 is a wasteful number, since it uses less digits than its factorization.

45264552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 45264552 is about 6727.8935782309. The cubic root of 45264552 is about 356.3849935927.

The spelling of 45264552 in words is "forty-five million, two hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1907 1978 2967 3814 3956 5721 5934 7628 7912 11442 11868 15256 22884 23736 43861 45768 82001 87722 131583 164002 175444 246003 263166 328004 350888 492006 526332 656008 984012 1052664 1886023 1968024 3772046 5658069 7544092 11316138 15088184 22632276 45264552