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63930048 = 2637133659
BaseRepresentation
bin1111001111011…
…1111011000000
311110021222112120
43303313323000
5112331230143
610202124240
71404252660
oct363677300
9143258476
1063930048
11330a5656
12194b0680
1310324a40
1486c21a0
15592c383
hex3cf7ec0

63930048 has 112 divisors (see below), whose sum is σ = 208239360. Its totient is φ = 16856064.

The previous prime is 63930037. The next prime is 63930049. The reversal of 63930048 is 84003936.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (63930049) 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, 15643 + ... + 19301.

It is an arithmetic number, because the mean of its divisors is an integer number (1859280).

Almost surely, 263930048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104119680).

63930048 is an abundant number, since it is smaller than the sum of its proper divisors (144309312).

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

63930048 is a wasteful number, since it uses less digits than its factorization.

63930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63930048 is about 7995.6268046977. The cubic root of 63930048 is about 399.8542135389.

The spelling of 63930048 in words is "sixty-three million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3659 4368 5824 7318 8736 10977 14636 17472 21954 25613 29272 43908 47567 51226 58544 76839 87816 95134 102452 117088 142701 153678 175632 190268 204904 234176 285402 307356 332969 351264 380536 409808 570804 614712 665938 702528 761072 819616 998907 1141608 1229424 1331876 1522144 1639232 1997814 2283216 2458848 2663752 3044288 3995628 4566432 4917696 5327504 7991256 9132864 10655008 15982512 21310016 31965024 63930048