Search a number
-
+
45909660 = 22355314437
BaseRepresentation
bin1010111100100…
…0011010011100
310012101110012210
42233020122130
543223102120
64320000420
71065140256
oct257103234
9105343183
1045909660
1123a07675
1213460110
1396856a4
146150cd6
15406cce0
hex2bc869c

45909660 has 48 divisors (see below), whose sum is σ = 130981536. Its totient is φ = 12010752.

The previous prime is 45909641. The next prime is 45909683. The reversal of 45909660 is 6690954.

45909660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4039 + ... + 10398.

It is an arithmetic number, because the mean of its divisors is an integer number (2728782).

Almost surely, 245909660 is an apocalyptic number.

It is an amenable number.

45909660 is an abundant number, since it is smaller than the sum of its proper divisors (85071876).

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

45909660 is a wasteful number, since it uses less digits than its factorization.

45909660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14500 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 45909660 is about 6775.6667568587. Note that the first 3 decimals coincide. The cubic root of 45909660 is about 358.0700735672.

The spelling of 45909660 in words is "forty-five million, nine hundred nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 14437 28874 43311 57748 72185 86622 144370 173244 216555 288740 433110 765161 866220 1530322 2295483 3060644 3825805 4590966 7651610 9181932 11477415 15303220 22954830 45909660