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482640840 = 2332511307397
BaseRepresentation
bin11100110001001…
…000001111001000
31020122011200202200
4130301020033020
51442024001330
6115520400200
714650244103
oct3461101710
91218150680
10482640840
11228490230
12115776060
1378cb79c6
144815773a
152c589a60
hex1cc483c8

482640840 has 192 divisors, whose sum is σ = 1721079360. Its totient is φ = 116328960.

The previous prime is 482640833. The next prime is 482640857. The reversal of 482640840 is 48046284.

482640840 is a `hidden beast` number, since 4 + 8 + 2 + 640 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 482640795 and 482640804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215522 + ... + 1215918.

It is an arithmetic number, because the mean of its divisors is an integer number (8963955).

Almost surely, 2482640840 is an apocalyptic number.

482640840 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 482640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860539680).

482640840 is an abundant number, since it is smaller than the sum of its proper divisors (1238438520).

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

482640840 is a wasteful number, since it uses less digits than its factorization.

482640840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 482640840 is about 21969.0882833130. The cubic root of 482640840 is about 784.4068111202.

The spelling of 482640840 in words is "four hundred eighty-two million, six hundred forty thousand, eight hundred forty".