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484395960 = 233517367647
BaseRepresentation
bin11100110111110…
…100101110111000
31020202110212100010
4130313310232320
51443001132320
6120022141520
715001204056
oct3467645670
91222425303
10484395960
11229479944
121162818a0
1379480839
14484931d6
152c7d4ae0
hex1cdf4bb8

484395960 has 128 divisors (see below), whose sum is σ = 1545246720. Its totient is φ = 121055232.

The previous prime is 484395941. The next prime is 484395979. The reversal of 484395960 is 69593484.

It is an interprime number because it is at equal distance from previous prime (484395941) and next prime (484395979).

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, 748357 + ... + 749003.

It is an arithmetic number, because the mean of its divisors is an integer number (12072240).

Almost surely, 2484395960 is an apocalyptic number.

484395960 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 484395960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772623360).

484395960 is an abundant number, since it is smaller than the sum of its proper divisors (1060850760).

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

484395960 is a wasteful number, since it uses less digits than its factorization.

484395960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 484395960 is about 22008.9972511244. The cubic root of 484395960 is about 785.3564908206.

The spelling of 484395960 in words is "four hundred eighty-four million, three hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 367 408 510 647 680 734 1020 1101 1294 1468 1835 1941 2040 2202 2588 2936 3235 3670 3882 4404 5176 5505 6239 6470 7340 7764 8808 9705 10999 11010 12478 12940 14680 15528 18717 19410 21998 22020 24956 25880 31195 32997 37434 38820 43996 44040 49912 54995 62390 65994 74868 77640 87992 93585 109990 124780 131988 149736 164985 187170 219980 237449 249560 263976 329970 374340 439960 474898 659940 712347 748680 949796 1187245 1319880 1424694 1899592 2374490 2849388 3561735 4036633 4748980 5698776 7123470 8073266 9497960 12109899 14246940 16146532 20183165 24219798 28493880 32293064 40366330 48439596 60549495 80732660 96879192 121098990 161465320 242197980 484395960