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45672264 = 23321157667
BaseRepresentation
bin1010111000111…
…0011101001000
310011221101120100
42232032131020
543143003024
64310525400
71063131201
oct256163510
9104841510
1045672264
1123865280
1213366860
139601611
1460cc5a8
1540227c9
hex2b8e748

45672264 has 48 divisors (see below), whose sum is σ = 134943120. Its totient is φ = 13839840.

The previous prime is 45672259. The next prime is 45672271. The reversal of 45672264 is 46227654.

45672264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 28042 + ... + 29625.

It is an arithmetic number, because the mean of its divisors is an integer number (2811315).

Almost surely, 245672264 is an apocalyptic number.

45672264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45672264 is an abundant number, since it is smaller than the sum of its proper divisors (89270856).

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

45672264 is a wasteful number, since it uses less digits than its factorization.

45672264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57690 (or 57683 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45672264 is about 6758.1257756866. The cubic root of 45672264 is about 357.4518206545.

The spelling of 45672264 in words is "forty-five million, six hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 57667 115334 173001 230668 346002 461336 519003 634337 692004 1038006 1268674 1384008 1903011 2076012 2537348 3806022 4152024 5074696 5709033 7612044 11418066 15224088 22836132 45672264