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482625360 = 243257313089
BaseRepresentation
bin11100110001000…
…100011101010000
31020122010220112100
4130301010131100
51442023002420
6115520200400
714650151010
oct3461043520
91218126470
10482625360
1122847a638
12115769100
1378cb0949
1448151c40
152c585190
hex1cc44750

482625360 has 240 divisors, whose sum is σ = 1912734720. Its totient is φ = 106721280.

The previous prime is 482625331. The next prime is 482625383. The reversal of 482625360 is 63526284.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154696 + ... + 157784.

It is an arithmetic number, because the mean of its divisors is an integer number (7969728).

Almost surely, 2482625360 is an apocalyptic number.

482625360 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 482625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956367360).

482625360 is an abundant number, since it is smaller than the sum of its proper divisors (1430109360).

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

482625360 is a wasteful number, since it uses less digits than its factorization.

482625360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 482625360 is about 21968.7359672786. The cubic root of 482625360 is about 784.3984247963.

The spelling of 482625360 in words is "four hundred eighty-two million, six hundred twenty-five thousand, three hundred sixty".