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484575960 = 2335112231451
BaseRepresentation
bin11100111000100…
…000101011011000
31020202211000020210
4130320200223120
51443022412320
6120030051120
715002553621
oct3470405330
91222730223
10484575960
11229592100
12116349aa0
137951474b
14484dca48
152c81d0e0
hex1ce20ad8

484575960 has 192 divisors, whose sum is σ = 1668522240. Its totient is φ = 112288000.

The previous prime is 484575953. The next prime is 484576003. The reversal of 484575960 is 69575484.

It is a super-2 number, since 2×4845759602 = 469627722019843200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 333235 + ... + 334685.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2484575960 is an apocalyptic number.

484575960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484575960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

484575960 is an abundant number, since it is smaller than the sum of its proper divisors (1183946280).

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

484575960 is a wasteful number, since it uses less digits than its factorization.

484575960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 484575960 is about 22013.0861080404. The cubic root of 484575960 is about 785.4537574327.

The spelling of 484575960 in words is "four hundred eighty-four million, five hundred seventy-five thousand, nine hundred sixty".