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484588104 = 2337111323877
BaseRepresentation
bin11100111000100…
…011101001001000
31020202211121220120
4130320203221020
51443023304404
6120030223240
715002634210
oct3470435110
91222747816
10484588104
112295a0240
12116354b20
137951a130
1448503240
152c8219d9
hex1ce23a48

484588104 has 256 divisors, whose sum is σ = 1699246080. Its totient is φ = 111006720.

The previous prime is 484588033. The next prime is 484588123. The reversal of 484588104 is 401885484.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 552114 + ... + 552990.

It is an arithmetic number, because the mean of its divisors is an integer number (6637680).

Almost surely, 2484588104 is an apocalyptic number.

484588104 is a gapful number since it is divisible by the number (44) 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 484588104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849623040).

484588104 is an abundant number, since it is smaller than the sum of its proper divisors (1214657976).

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

484588104 is a wasteful number, since it uses less digits than its factorization.

484588104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 484588104 is about 22013.3619422386. The cubic root of 484588104 is about 785.4603188194.

The spelling of 484588104 in words is "four hundred eighty-four million, five hundred eighty-eight thousand, one hundred four".