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495998880 = 253513101787
BaseRepresentation
bin11101100100000…
…101011110100000
31021120022100112220
4131210011132200
52003433431010
6121114551040
715201630606
oct3544053640
91246270486
10495998880
11234a84333
1211a138480
137b9b3b80
1449c33876
152d827970
hex1d9057a0

495998880 has 192 divisors, whose sum is σ = 1701399168. Its totient is φ = 120729600.

The previous prime is 495998879. The next prime is 495998891. The reversal of 495998880 is 88899594.

It is a super-2 number, since 2×4959988802 = 492029777922508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 629847 + ... + 630633.

It is an arithmetic number, because the mean of its divisors is an integer number (8861454).

Almost surely, 2495998880 is an apocalyptic number.

495998880 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 495998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850699584).

495998880 is an abundant number, since it is smaller than the sum of its proper divisors (1205400288).

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

495998880 is a wasteful number, since it uses less digits than its factorization.

495998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The square root of 495998880 is about 22271.0323065636. The cubic root of 495998880 is about 791.5777261240.

The spelling of 495998880 in words is "four hundred ninety-five million, nine hundred ninety-eight thousand, eight hundred eighty".