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63494880 = 2535179739
BaseRepresentation
bin1111001000110…
…1101011100000
311102110212121020
43302031223200
5112223314010
610144525440
71400461161
oct362155340
9142425536
1063494880
1132928709
1219320880
1310201947
14860b768
155893470
hex3c8dae0

63494880 has 96 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 16814592.

The previous prime is 63494869. The next prime is 63494887. The reversal of 63494880 is 8849436.

63494880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63494887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85551 + ... + 86289.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 263494880 is an apocalyptic number.

63494880 is a gapful number since it is divisible by the number (60) 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 63494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

63494880 is an abundant number, since it is smaller than the sum of its proper divisors (137903520).

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

63494880 is a wasteful number, since it uses less digits than its factorization.

63494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 63494880 is about 7968.3674614064. The cubic root of 63494880 is about 398.9448859496.

The spelling of 63494880 in words is "sixty-three million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 739 895 1074 1432 1478 1790 2148 2217 2685 2864 2956 3580 3695 4296 4434 5370 5728 5912 7160 7390 8592 8868 10740 11085 11824 14320 14780 17184 17736 21480 22170 23648 28640 29560 35472 42960 44340 59120 70944 85920 88680 118240 132281 177360 264562 354720 396843 529124 661405 793686 1058248 1322810 1587372 1984215 2116496 2645620 3174744 3968430 4232992 5291240 6349488 7936860 10582480 12698976 15873720 21164960 31747440 63494880