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480569328 = 24331765437
BaseRepresentation
bin11100101001001…
…110011111110000
31020111021110012000
4130221032133300
51441011204303
6115404134000
714623525521
oct3451163760
91214243160
10480569328
112272a5938
12114b37300
1378740b65
1447b78848
152c2cada3
hex1ca4e7f0

480569328 has 80 divisors (see below), whose sum is σ = 1460576160. Its totient is φ = 150764544.

The previous prime is 480569321. The next prime is 480569339. The reversal of 480569328 is 823965084.

480569328 is a `hidden beast` number, since 4 + 80 + 569 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480569321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25375 + ... + 40062.

It is an arithmetic number, because the mean of its divisors is an integer number (18257202).

Almost surely, 2480569328 is an apocalyptic number.

480569328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480569328 is an abundant number, since it is smaller than the sum of its proper divisors (980006832).

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

480569328 is a wasteful number, since it uses less digits than its factorization.

480569328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65471 (or 65459 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 480569328 is about 21921.8915242276. The cubic root of 480569328 is about 783.2829675580.

The spelling of 480569328 in words is "four hundred eighty million, five hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 65437 130874 196311 261748 392622 523496 588933 785244 1046992 1112429 1177866 1570488 1766799 2224858 2355732 3140976 3337287 3533598 4449716 4711464 6674574 7067196 8899432 9422928 10011861 13349148 14134392 17798864 20023722 26698296 28268784 30035583 40047444 53396592 60071166 80094888 120142332 160189776 240284664 480569328