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45764712 = 2332790803
BaseRepresentation
bin1010111010010…
…1000001101000
310012010002101100
42232211001220
543203432322
64312521400
71063664550
oct256450150
9105102340
1045764712
1123918784
12133b0260
139634716
146114160
15403edac
hex2ba5068

45764712 has 48 divisors (see below), whose sum is σ = 141654240. Its totient is φ = 13075488.

The previous prime is 45764689. The next prime is 45764717. The reversal of 45764712 is 21746754.

45764712 is a `hidden beast` number, since 4 + 5 + 7 + 647 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45764717) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44898 + ... + 45905.

It is an arithmetic number, because the mean of its divisors is an integer number (2951130).

Almost surely, 245764712 is an apocalyptic number.

45764712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45764712 is an abundant number, since it is smaller than the sum of its proper divisors (95889528).

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

45764712 is a wasteful number, since it uses less digits than its factorization.

45764712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90822 (or 90815 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 45764712 is about 6764.9620841510. The cubic root of 45764712 is about 357.6928380792.

The spelling of 45764712 in words is "forty-five million, seven hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 90803 181606 272409 363212 544818 635621 726424 817227 1089636 1271242 1634454 1906863 2179272 2542484 3268908 3813726 5084968 5720589 6537816 7627452 11441178 15254904 22882356 45764712