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463990164 = 223119913547
BaseRepresentation
bin11011101001111…
…110110110010100
31012100002010211220
4123221332312110
51422240141124
6114012530340
714332565001
oct3351766624
91170063756
10463990164
11218a01750
1210b4809b0
13751877c1
14458a08a8
152ab03879
hex1ba7ed94

463990164 has 48 divisors (see below), whose sum is σ = 1182590976. Its totient is φ = 140421600.

The previous prime is 463990141. The next prime is 463990171. The reversal of 463990164 is 461099364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129039 + ... + 132585.

It is an arithmetic number, because the mean of its divisors is an integer number (24637312).

Almost surely, 2463990164 is an apocalyptic number.

463990164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463990164 is an abundant number, since it is smaller than the sum of its proper divisors (718600812).

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

463990164 is a wasteful number, since it uses less digits than its factorization.

463990164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 463990164 is about 21540.4309149098. The cubic root of 463990164 is about 774.1698576928.

The spelling of 463990164 in words is "four hundred sixty-three million, nine hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 991 1982 2973 3547 3964 5946 7094 10641 10901 11892 14188 21282 21802 32703 39017 42564 43604 65406 78034 117051 130812 156068 234102 468204 3515077 7030154 10545231 14060308 21090462 38665847 42180924 77331694 115997541 154663388 231995082 463990164