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40564764 = 22328811279
BaseRepresentation
bin1001101010111…
…1100000011100
32211022220101200
42122233200130
540341033024
64005235500
71001536422
oct232574034
984286350
1040564764
11209969a9
1211702b90
138533926
14555d112
1538642c9
hex26af81c

40564764 has 36 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 13495680.

The previous prime is 40564763. The next prime is 40564793. The reversal of 40564764 is 46746504.

40564764 is a `hidden beast` number, since 4 + 0 + 5 + 647 + 6 + 4 = 666.

40564764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40564763) 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 11 ways as a sum of consecutive naturals, for example, 31077 + ... + 32355.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 240564764 is an apocalyptic number.

It is an amenable number.

40564764 is an abundant number, since it is smaller than the sum of its proper divisors (62170596).

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

40564764 is a wasteful number, since it uses less digits than its factorization.

40564764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 40564764 is about 6369.0473384958. The cubic root of 40564764 is about 343.5972278052.

It can be divided in two parts, 40564 and 764, that added together give a triangular number (41328 = T287).

The spelling of 40564764 in words is "forty million, five hundred sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 881 1279 1762 2558 2643 3524 3837 5116 5286 7674 7929 10572 11511 15348 15858 23022 31716 46044 1126799 2253598 3380397 4507196 6760794 10141191 13521588 20282382 40564764