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45246864 = 24313591229
BaseRepresentation
bin1010110010011…
…0100110010000
310011010210000210
42230212212100
543040344424
64253444120
71056410025
oct254464620
9104123023
1045246864
11235a4703
12131a0640
1394b2ac0
14601b54c
153e8b729
hex2b26990

45246864 has 80 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 13675008.

The previous prime is 45246833. The next prime is 45246871. The reversal of 45246864 is 46864254.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36202 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 245246864 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 45246864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

45246864 is an abundant number, since it is smaller than the sum of its proper divisors (82869936).

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

45246864 is a wasteful number, since it uses less digits than its factorization.

45246864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 45246864 is about 6726.5789224538. The cubic root of 45246864 is about 356.3385660995.

The spelling of 45246864 in words is "forty-five million, two hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1229 1416 1534 2301 2458 2832 3068 3687 4602 4916 6136 7374 9204 9832 12272 14748 15977 18408 19664 29496 31954 36816 47931 58992 63908 72511 95862 127816 145022 191724 217533 255632 290044 383448 435066 580088 766896 870132 942643 1160176 1740264 1885286 2827929 3480528 3770572 5655858 7541144 11311716 15082288 22623432 45246864