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464530644 = 223217759037
BaseRepresentation
bin11011101100000…
…010110011010100
31012101002121020200
4123230002303110
51422404440034
6114032300500
714340305514
oct3354026324
91171077220
10464530644
11219240826
1210b6a1730
1375316806
14459a1844
152abada99
hex1bb02cd4

464530644 has 36 divisors (see below), whose sum is σ = 1243304244. Its totient is φ = 145734912.

The previous prime is 464530621. The next prime is 464530663. The reversal of 464530644 is 446035464.

464530644 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 3 + 0 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216090000 + 248440644 = 14700^2 + 15762^2 .

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 junction number, because it is equal to n+sod(n) for n = 464530599 and 464530608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378907 + ... + 380130.

It is an arithmetic number, because the mean of its divisors is an integer number (34536229).

Almost surely, 2464530644 is an apocalyptic number.

It is an amenable number.

464530644 is an abundant number, since it is smaller than the sum of its proper divisors (778773600).

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

464530644 is a wasteful number, since it uses less digits than its factorization.

464530644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759064 (or 759059 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 464530644 is about 21552.9729735830. The cubic root of 464530644 is about 774.4703388920.

The spelling of 464530644 in words is "four hundred sixty-four million, five hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 759037 1518074 2277111 3036148 4554222 6831333 9108444 12903629 13662666 25807258 27325332 38710887 51614516 77421774 116132661 154843548 232265322 464530644