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40644756 = 22321766413
BaseRepresentation
bin1001101100001…
…1000010010100
32211110222010100
42123003002110
540401113011
64011054100
71002321555
oct233030224
984428110
1040644756
1120a41009
1211741330
138561169
14558032c
15387cd56
hex26c3094

40644756 has 36 divisors (see below), whose sum is σ = 108786132. Its totient is φ = 12751104.

The previous prime is 40644733. The next prime is 40644757. The reversal of 40644756 is 65744604.

40644756 is a `hidden beast` number, since 4 + 0 + 644 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 18404100 = 4716^2 + 4290^2 .

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 self number, because there is not a number n which added to its sum of digits gives 40644756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40644757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32595 + ... + 33818.

It is an arithmetic number, because the mean of its divisors is an integer number (3021837).

Almost surely, 240644756 is an apocalyptic number.

It is an amenable number.

40644756 is an abundant number, since it is smaller than the sum of its proper divisors (68141376).

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

40644756 is a wasteful number, since it uses less digits than its factorization.

40644756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66440 (or 66435 counting only the distinct ones).

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

The square root of 40644756 is about 6375.3239917670. The cubic root of 40644756 is about 343.8229325801.

The spelling of 40644756 in words is "forty million, six hundred forty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 66413 132826 199239 265652 398478 597717 796956 1129021 1195434 2258042 2390868 3387063 4516084 6774126 10161189 13548252 20322378 40644756