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465772040 = 23511644301
BaseRepresentation
bin11011110000110…
…001111000001000
31012110102200010022
4123300301320020
51423214201130
6114115040012
714353665656
oct3360617010
91173380108
10465772040
11219a09478
1210bba0008
137565c876
1445c05dd6
152ad567e5
hex1bc31e08

465772040 has 16 divisors (see below), whose sum is σ = 1047987180. Its totient is φ = 186308800.

The previous prime is 465772039. The next prime is 465772127. The reversal of 465772040 is 40277564.

It can be written as a sum of positive squares in 2 ways, for example, as 442597444 + 23174596 = 21038^2 + 4814^2 .

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 3 ways as a sum of consecutive naturals, for example, 5822111 + ... + 5822190.

Almost surely, 2465772040 is an apocalyptic number.

465772040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465772040 is an abundant number, since it is smaller than the sum of its proper divisors (582215140).

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

465772040 is a wasteful number, since it uses less digits than its factorization.

465772040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644312 (or 11644308 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 465772040 is about 21581.7524774982. The cubic root of 465772040 is about 775.1596147137.

The spelling of 465772040 in words is "four hundred sixty-five million, seven hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11644301 23288602 46577204 58221505 93154408 116443010 232886020 465772040