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45690760 = 2351142269
BaseRepresentation
bin1010111001001…
…0111110001000
310011222022221101
42232102332020
543144101020
64311151144
71063236133
oct256227610
9104868841
1045690760
1123878165
12133754b4
139609b6b
1460d521a
15402800a
hex2b92f88

45690760 has 16 divisors (see below), whose sum is σ = 102804300. Its totient is φ = 18276288.

The previous prime is 45690739. The next prime is 45690761. The reversal of 45690760 is 6709654.

45690760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45454564 + 236196 = 6742^2 + 486^2 .

It is not an unprimeable number, because it can be changed into a prime (45690761) 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 3 ways as a sum of consecutive naturals, for example, 571095 + ... + 571174.

Almost surely, 245690760 is an apocalyptic number.

45690760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45690760 is an abundant number, since it is smaller than the sum of its proper divisors (57113540).

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

45690760 is a wasteful number, since it uses less digits than its factorization.

45690760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142280 (or 1142276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 45690760 is about 6759.4940639074. The cubic root of 45690760 is about 357.5000668329.

The spelling of 45690760 in words is "forty-five million, six hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1142269 2284538 4569076 5711345 9138152 11422690 22845380 45690760