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481045160 = 23512026129
BaseRepresentation
bin11100101011000…
…010101010101000
31020112011121220102
4130223002222220
51441121421120
6115422244532
714630550011
oct3453025250
91215147812
10481045160
112275a0392
12115126748
137887960b
1447c60008
152c371d75
hex1cac2aa8

481045160 has 16 divisors (see below), whose sum is σ = 1082351700. Its totient is φ = 192418048.

The previous prime is 481045157. The next prime is 481045189. The reversal of 481045160 is 61540184.

It can be written as a sum of positive squares in 2 ways, for example, as 479522404 + 1522756 = 21898^2 + 1234^2 .

It is a super-3 number, since 3×4810451603 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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, 6013025 + ... + 6013104.

Almost surely, 2481045160 is an apocalyptic number.

481045160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481045160 is an abundant number, since it is smaller than the sum of its proper divisors (601306540).

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

481045160 is a wasteful number, since it uses less digits than its factorization.

481045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026140 (or 12026136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 481045160 is about 21932.7417346760. The cubic root of 481045160 is about 783.5414028031.

The spelling of 481045160 in words is "four hundred eighty-one million, forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 12026129 24052258 48104516 60130645 96209032 120261290 240522580 481045160