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482031264 = 253111323773
BaseRepresentation
bin11100101110110…
…011011010100000
31020121000201120210
4130232303122200
51441400000024
6115455334120
714642124651
oct3456633240
91217021523
10482031264
11228104250
12115521340
1378b33400
1448039528
152c4b9129
hex1cbb36a0

482031264 has 288 divisors, whose sum is σ = 1556138304. Its totient is φ = 129392640.

The previous prime is 482031229. The next prime is 482031269. The reversal of 482031264 is 462130284.

It is not an unprimeable number, because it can be changed into a prime (482031269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6603132 + ... + 6603204.

It is an arithmetic number, because the mean of its divisors is an integer number (5403258).

Almost surely, 2482031264 is an apocalyptic number.

482031264 is a gapful number since it is divisible by the number (44) 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 482031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778069152).

482031264 is an abundant number, since it is smaller than the sum of its proper divisors (1074107040).

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

482031264 is a wasteful number, since it uses less digits than its factorization.

482031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 482031264 is about 21955.2104066438. The cubic root of 482031264 is about 784.0764363904.

The spelling of 482031264 in words is "four hundred eighty-two million, thirty-one thousand, two hundred sixty-four".