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461672920 = 23511541823
BaseRepresentation
bin11011100001001…
…001000111011000
31012011201102012001
4123201021013120
51421142013140
6113451130344
714304104122
oct3341110730
91164642161
10461672920
11217669775
1210a7439b4
1374855b57
144545a212
152a7e6e9a
hex1b8491d8

461672920 has 16 divisors (see below), whose sum is σ = 1038764160. Its totient is φ = 184669152.

The previous prime is 461672909. The next prime is 461672921. The reversal of 461672920 is 29276164.

It is a super-2 number, since 2×4616729202 = 426283770122652800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461672920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461672921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5770872 + ... + 5770951.

It is an arithmetic number, because the mean of its divisors is an integer number (64922760).

Almost surely, 2461672920 is an apocalyptic number.

461672920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461672920 is an abundant number, since it is smaller than the sum of its proper divisors (577091240).

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

461672920 is a wasteful number, since it uses less digits than its factorization.

461672920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541834 (or 11541830 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 461672920 is about 21486.5753436884. The cubic root of 461672920 is about 772.8789286150.

The spelling of 461672920 in words is "four hundred sixty-one million, six hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11541823 23083646 46167292 57709115 92334584 115418230 230836460 461672920