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492879912 = 2337171931293
BaseRepresentation
bin11101011000001…
…100000000101000
31021100102220010120
4131120030000220
52002134124122
6120524043240
715133260450
oct3530140050
91240386116
10492879912
11233243a78
12119093520
137b161325
1449660d60
152d40d75c
hex1d60c028

492879912 has 256 divisors, whose sum is σ = 1625702400. Its totient is φ = 121098240.

The previous prime is 492879887. The next prime is 492879917. The reversal of 492879912 is 219978294.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (492879917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682038 + ... + 1682330.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2492879912 is an apocalyptic number.

492879912 is a gapful number since it is divisible by the number (42) 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 492879912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

492879912 is an abundant number, since it is smaller than the sum of its proper divisors (1132822488).

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

492879912 is a wasteful number, since it uses less digits than its factorization.

492879912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 492879912 is about 22200.8989007202. The cubic root of 492879912 is about 789.9150215703.

The spelling of 492879912 in words is "four hundred ninety-two million, eight hundred seventy-nine thousand, nine hundred twelve".