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63115264 = 21219811
BaseRepresentation
bin1111000011000…
…1000000000000
311101202120212101
43300301000000
5112124142024
610132440144
71364320342
oct360610000
9141676771
1063115264
1132699483
1219179054
13100cac14
14854d292
15581ac44
hex3c31000

63115264 has 52 divisors (see below), whose sum is σ = 133021840. Its totient is φ = 29859840.

The previous prime is 63115259. The next prime is 63115319. The reversal of 63115264 is 46251136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77419 + ... + 78229.

Almost surely, 263115264 is an apocalyptic number.

63115264 is a gapful number since it is divisible by the number (64) 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 63115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66510920).

63115264 is an abundant number, since it is smaller than the sum of its proper divisors (69906576).

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

63115264 is an equidigital number, since it uses as much as digits as its factorization.

63115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 832 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 63115264 is about 7944.5115645960. The cubic root of 63115264 is about 398.1482406973.

The spelling of 63115264 in words is "sixty-three million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 811 1024 1216 1622 2048 2432 3244 4096 4864 6488 9728 12976 15409 19456 25952 30818 38912 51904 61636 77824 103808 123272 207616 246544 415232 493088 830464 986176 1660928 1972352 3321856 3944704 7889408 15778816 31557632 63115264