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492696960 = 2735725237
BaseRepresentation
bin11101010111011…
…111010110000000
31021100002121011120
4131113133112000
52002112300320
6120520112240
715131566200
oct3527372600
91240077146
10492696960
11233129578
12119005680
137b0c8c82
1449614400
152d3c4440
hex1d5df580

492696960 has 192 divisors, whose sum is σ = 1827223920. Its totient is φ = 112594944.

The previous prime is 492696947. The next prime is 492696983. The reversal of 492696960 is 69696294.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91462 + ... + 96698.

Almost surely, 2492696960 is an apocalyptic number.

492696960 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 492696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913611960).

492696960 is an abundant number, since it is smaller than the sum of its proper divisors (1334526960).

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

492696960 is a wasteful number, since it uses less digits than its factorization.

492696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The square root of 492696960 is about 22196.7781445867. The cubic root of 492696960 is about 789.8172733398.

The spelling of 492696960 in words is "four hundred ninety-two million, six hundred ninety-six thousand, nine hundred sixty".