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482660640 = 253357111451
BaseRepresentation
bin11100110001001…
…101000100100000
31020122012200221000
4130301031010200
51442030120030
6115521032000
714650355610
oct3461150440
91218180830
10482660640
112284a40a0
12115785600
1378cc3a17
1448160a40
152c590860
hex1cc4d120

482660640 has 384 divisors, whose sum is σ = 2107607040. Its totient is φ = 100224000.

The previous prime is 482660639. The next prime is 482660653. The reversal of 482660640 is 46066284.

It is a happy number.

482660640 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×4826606402 = 465922586810419200, which contains 22 as substring.

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 = 482660595 and 482660604.

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 63 ways as a sum of consecutive naturals, for example, 331915 + ... + 333365.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2482660640 is an apocalyptic number.

482660640 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 482660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

482660640 is an abundant number, since it is smaller than the sum of its proper divisors (1624946400).

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

482660640 is a wasteful number, since it uses less digits than its factorization.

482660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 482660640 is about 21969.5389118661. The cubic root of 482660640 is about 784.4175375523.

The spelling of 482660640 in words is "four hundred eighty-two million, six hundred sixty thousand, six hundred forty".