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464642496 = 2632806671
BaseRepresentation
bin11011101100011…
…110000111000000
31012101022021200100
4123230132013000
51422422024441
6114034522400
714341252563
oct3354360700
91171267610
10464642496
1121930786a
1210b736400
13753556b6
14459d04da
152abd1cb6
hex1bb1e1c0

464642496 has 42 divisors (see below), whose sum is σ = 1331815472. Its totient is φ = 154880640.

The previous prime is 464642491. The next prime is 464642501. The reversal of 464642496 is 694246464.

It is an interprime number because it is at equal distance from previous prime (464642491) and next prime (464642501).

It is a super-2 number, since 2×4646424962 = 431785298178220032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464642491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 402760 + ... + 403911.

Almost surely, 2464642496 is an apocalyptic number.

It is an amenable number.

464642496 is an abundant number, since it is smaller than the sum of its proper divisors (867172976).

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

464642496 is a wasteful number, since it uses less digits than its factorization.

464642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806689 (or 806676 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 464642496 is about 21555.5676334445. The cubic root of 464642496 is about 774.5324941776.

The spelling of 464642496 in words is "four hundred sixty-four million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 806671 1613342 2420013 3226684 4840026 6453368 7260039 9680052 12906736 14520078 19360104 25813472 29040156 38720208 51626944 58080312 77440416 116160624 154880832 232321248 464642496