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461136040 = 23553217517
BaseRepresentation
bin11011011111000…
…110000010101000
31012010201010201121
4123133012002220
51421022323130
6113431425024
714266406641
oct3337060250
91163633647
10461136040
11217332372
1210a525174
13746c8681
144535a6c8
152a73cd7a
hex1b7c60a8

461136040 has 32 divisors (see below), whose sum is σ = 1057137480. Its totient is φ = 180973312.

The previous prime is 461136029. The next prime is 461136073. The reversal of 461136040 is 40631164.

It can be written as a sum of positive squares in 4 ways, for example, as 461132676 + 3364 = 21474^2 + 58^2 .

It is a junction number, because it is equal to n+sod(n) for n = 461135996 and 461136014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106639 + ... + 110878.

Almost surely, 2461136040 is an apocalyptic number.

461136040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461136040 is an abundant number, since it is smaller than the sum of its proper divisors (596001440).

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

461136040 is a wasteful number, since it uses less digits than its factorization.

461136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217581 (or 217577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 461136040 is about 21474.0783271367. The cubic root of 461136040 is about 772.5792184586.

The spelling of 461136040 in words is "four hundred sixty-one million, one hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 217517 435034 870068 1087585 1740136 2175170 4350340 8700680 11528401 23056802 46113604 57642005 92227208 115284010 230568020 461136040