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63413064 = 233311132053
BaseRepresentation
bin1111000111100…
…1101101001000
311102022201101000
43301321231020
5112213204224
610143055000
71400000511
oct361715510
9142281330
1063413064
11328821a0
12192a1460
13101a3630
1485c9a08
1558790c9
hex3c79b48

63413064 has 128 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 17729280.

The previous prime is 63413057. The next prime is 63413087. The reversal of 63413064 is 46031436.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29862 + ... + 31914.

It is an arithmetic number, because the mean of its divisors is an integer number (1617525).

Almost surely, 263413064 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 63413064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

63413064 is an abundant number, since it is smaller than the sum of its proper divisors (143630136).

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

63413064 is a wasteful number, since it uses less digits than its factorization.

63413064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63413064 is about 7963.2320071689. The cubic root of 63413064 is about 398.7734595069.

The spelling of 63413064 in words is "sixty-three million, four hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2053 2376 2574 2808 3432 3861 4106 5148 6159 7722 8212 10296 12318 15444 16424 18477 22583 24636 26689 30888 36954 45166 49272 53378 55431 67749 73908 80067 90332 106756 110862 135498 147816 160134 180664 203247 213512 221724 240201 270996 293579 320268 406494 443448 480402 541992 587158 609741 640536 720603 812988 880737 960804 1174316 1219482 1441206 1625976 1761474 1921608 2348632 2438964 2642211 2882412 3522948 4877928 5284422 5764824 7045896 7926633 10568844 15853266 21137688 31706532 63413064