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495508104 = 23357132801
BaseRepresentation
bin11101100010001…
…101101010001000
31021112101102100000
4131202031222020
52003322224404
6121100243000
715164515020
oct3542155210
91245342300
10495508104
11234779633
12119b40460
137b871680
1449b46a80
152d77c339
hex1d88da88

495508104 has 192 divisors, whose sum is σ = 1713479040. Its totient is φ = 130636800.

The previous prime is 495508099. The next prime is 495508133. The reversal of 495508104 is 401805594.

495508104 is a `hidden beast` number, since 49 + 5 + 508 + 104 = 666.

It is a super-2 number, since 2×4955081042 = 491056562259349632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 175504 + ... + 178304.

It is an arithmetic number, because the mean of its divisors is an integer number (8924370).

Almost surely, 2495508104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495508104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856739520).

495508104 is an abundant number, since it is smaller than the sum of its proper divisors (1217970936).

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

495508104 is a wasteful number, since it uses less digits than its factorization.

495508104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 495508104 is about 22260.0113207518. The cubic root of 495508104 is about 791.3165591681.

The spelling of 495508104 in words is "four hundred ninety-five million, five hundred eight thousand, one hundred four".