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482700816 = 2433132337101
BaseRepresentation
bin11100110001010…
…110111000010000
31020122021202001000
4130301112320100
51442032411231
6115521542000
714650614003
oct3461267020
91218252030
10482700816
112285212a4
121157a4900
13790090b0
144817153a
152c59c6e6
hex1cc56e10

482700816 has 320 divisors, whose sum is σ = 1614896640. Its totient is φ = 136857600.

The previous prime is 482700791. The next prime is 482700851. The reversal of 482700816 is 618007284.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4779166 + ... + 4779266.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2482700816 is an apocalyptic number.

482700816 is a gapful number since it is divisible by the number (46) 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 482700816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807448320).

482700816 is an abundant number, since it is smaller than the sum of its proper divisors (1132195824).

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

482700816 is a wasteful number, since it uses less digits than its factorization.

482700816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 482700816 is about 21970.4532497625. The cubic root of 482700816 is about 784.4393015565.

The spelling of 482700816 in words is "four hundred eighty-two million, seven hundred thousand, eight hundred sixteen".