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493627968 = 2632856993
BaseRepresentation
bin11101011011000…
…010101001000000
31021101211220021100
4131123002221000
52002332043333
6120552054400
715142524411
oct3533025100
91241756240
10493627968
11233704aa9
12119394400
137b363972
14497b7808
152d50a213
hex1d6c2a40

493627968 has 42 divisors (see below), whose sum is σ = 1414897094. Its totient is φ = 164542464.

The previous prime is 493627951. The next prime is 493628011. The reversal of 493627968 is 869726394.

It is a happy number.

493627968 is a `hidden beast` number, since 4 + 9 + 3 + 627 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 438986304 + 54641664 = 20952^2 + 7392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427921 + ... + 429072.

Almost surely, 2493627968 is an apocalyptic number.

493627968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

493627968 is an abundant number, since it is smaller than the sum of its proper divisors (921269126).

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

493627968 is a wasteful number, since it uses less digits than its factorization.

493627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857011 (or 856998 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 493627968 is about 22217.7399390667. The cubic root of 493627968 is about 790.3144440715.

The spelling of 493627968 in words is "four hundred ninety-three million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 856993 1713986 2570979 3427972 5141958 6855944 7712937 10283916 13711888 15425874 20567832 27423776 30851748 41135664 54847552 61703496 82271328 123406992 164542656 246813984 493627968