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482392960 = 2757294779
BaseRepresentation
bin11100110000001…
…011101110000000
31020121201002201221
4130300023232000
51441443033320
6115511204424
714645162320
oct3460135600
91217632657
10482392960
11228330a75
12115676714
1378c2bc2a
14480d1280
152c53b3aa
hex1cc0bb80

482392960 has 256 divisors, whose sum is σ = 1410048000. Its totient is φ = 154312704.

The previous prime is 482392949. The next prime is 482392987. The reversal of 482392960 is 69293284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6106201 + ... + 6106279.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2482392960 is an apocalyptic number.

482392960 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 482392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705024000).

482392960 is an abundant number, since it is smaller than the sum of its proper divisors (927655040).

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

482392960 is a wasteful number, since it uses less digits than its factorization.

482392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 482392960 is about 21963.4459955627. The cubic root of 482392960 is about 784.2725000266.

The spelling of 482392960 in words is "four hundred eighty-two million, three hundred ninety-two thousand, nine hundred sixty".