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45936690 = 23553167173
BaseRepresentation
bin1010111100111…
…1000000110010
310012102211021220
42233033000302
543224433230
64320325510
71065312132
oct257170062
9105384256
1045936690
1123a25a08
1213473896
139694a97
14615aac2
154075d10
hex2bcf032

45936690 has 64 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 11877632.

The previous prime is 45936679. The next prime is 45936691. The reversal of 45936690 is 9663954.

45936690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459366902 = 4220358976312200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45936691) 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 31 ways as a sum of consecutive naturals, for example, 265444 + ... + 265616.

It is an arithmetic number, because the mean of its divisors is an integer number (1775844).

Almost surely, 245936690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45936690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827008).

45936690 is an abundant number, since it is smaller than the sum of its proper divisors (67717326).

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

45936690 is a wasteful number, since it uses less digits than its factorization.

45936690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 45936690 is about 6777.6611009994. The cubic root of 45936690 is about 358.1403328200.

The spelling of 45936690 in words is "forty-five million, nine hundred thirty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 167 173 265 318 334 346 501 519 530 795 835 865 1002 1038 1590 1670 1730 2505 2595 5010 5190 8851 9169 17702 18338 26553 27507 28891 44255 45845 53106 55014 57782 86673 88510 91690 132765 137535 144455 173346 265530 275070 288910 433365 866730 1531223 3062446 4593669 7656115 9187338 15312230 22968345 45936690