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63644064 = 2531125479
BaseRepresentation
bin1111001011001…
…0000110100000
311102202110020120
43302302012200
5112243102224
610152040240
71401652131
oct362620640
9142673216
1063644064
1132a1a800
1219393080
1310254813
148649c88
1558c2779
hex3cb21a0

63644064 has 72 divisors (see below), whose sum is σ = 183667680. Its totient is φ = 19282560.

The previous prime is 63644057. The next prime is 63644071. The reversal of 63644064 is 46044636.

It is an interprime number because it is at equal distance from previous prime (63644057) and next prime (63644071).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 11 ways as a sum of consecutive naturals, for example, 8877 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (2550940).

Almost surely, 263644064 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 63644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91833840).

63644064 is an abundant number, since it is smaller than the sum of its proper divisors (120023616).

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

63644064 is a wasteful number, since it uses less digits than its factorization.

63644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 63644064 is about 7977.7229834082. The cubic root of 63644064 is about 399.2570877243.

The spelling of 63644064 in words is "sixty-three million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5479 5808 10958 11616 16437 21916 32874 43832 60269 65748 87664 120538 131496 175328 180807 241076 262992 361614 482152 525984 662959 723228 964304 1325918 1446456 1928608 1988877 2651836 2892912 3977754 5303672 5785824 7955508 10607344 15911016 21214688 31822032 63644064