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63990864 = 2433723023
BaseRepresentation
bin1111010000011…
…0110001010000
311110102001222000
43310012301100
5112340201424
610203314000
71404625200
oct364066120
9143361860
1063990864
1133137313
121951b900
1310346622
1486da400
1559403c9
hex3d06c50

63990864 has 120 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 18277056.

The previous prime is 63990833. The next prime is 63990929. The reversal of 63990864 is 46809936.

63990864 is a `hidden beast` number, since 639 + 9 + 0 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19657 + ... + 22679.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 263990864 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 63990864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

63990864 is an abundant number, since it is smaller than the sum of its proper divisors (149745456).

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

63990864 is a wasteful number, since it uses less digits than its factorization.

63990864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 63990864 is about 7999.4289796210. The cubic root of 63990864 is about 399.9809657609.

The spelling of 63990864 in words is "sixty-three million, nine hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3023 3024 3528 5292 6046 7056 9069 10584 12092 18138 21161 21168 24184 27207 36276 42322 48368 54414 63483 72552 81621 84644 108828 126966 145104 148127 163242 169288 190449 217656 253932 296254 326484 338576 380898 435312 444381 507864 571347 592508 652968 761796 888762 1015728 1142694 1185016 1305936 1333143 1523592 1777524 2285388 2370032 2666286 3047184 3555048 3999429 4570776 5332572 7110096 7998858 9141552 10665144 15997716 21330288 31995432 63990864