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461505640 = 23511537641
BaseRepresentation
bin11011100000100…
…000010001101000
31012011101220201111
4123200200101220
51421121140030
6113443400104
714302506331
oct3340402150
91164356644
10461505640
11217565022
1210a683034
13747c797b
1445415288
152a7b262a
hex1b820468

461505640 has 16 divisors (see below), whose sum is σ = 1038387780. Its totient is φ = 184602240.

The previous prime is 461505637. The next prime is 461505677. The reversal of 461505640 is 46505164.

It can be written as a sum of positive squares in 2 ways, for example, as 429898756 + 31606884 = 20734^2 + 5622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5768781 + ... + 5768860.

Almost surely, 2461505640 is an apocalyptic number.

461505640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461505640 is an abundant number, since it is smaller than the sum of its proper divisors (576882140).

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

461505640 is a wasteful number, since it uses less digits than its factorization.

461505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537652 (or 11537648 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 461505640 is about 21482.6823278659. The cubic root of 461505640 is about 772.7855704533.

The spelling of 461505640 in words is "four hundred sixty-one million, five hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11537641 23075282 46150564 57688205 92301128 115376410 230752820 461505640