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492885120 = 27357213231
BaseRepresentation
bin11101011000001…
…101010010000000
31021100110011021110
4131120031102000
52002134310440
6120524123320
715133311600
oct3530152200
91240404243
10492885120
11233247982
12119096540
137b163800
1449662c00
152d410080
hex1d60d480

492885120 has 576 divisors, whose sum is σ = 2042807040. Its totient is φ = 100638720.

The previous prime is 492885109. The next prime is 492885143. The reversal of 492885120 is 21588294.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15899505 + ... + 15899535.

It is an arithmetic number, because the mean of its divisors is an integer number (3546540).

Almost surely, 2492885120 is an apocalyptic number.

492885120 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 492885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021403520).

492885120 is an abundant number, since it is smaller than the sum of its proper divisors (1549921920).

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

492885120 is a wasteful number, since it uses less digits than its factorization.

492885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 492885120 is about 22201.0161929584. The cubic root of 492885120 is about 789.9178037645.

The spelling of 492885120 in words is "four hundred ninety-two million, eight hundred eighty-five thousand, one hundred twenty".