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64032480 = 2532553839
BaseRepresentation
bin1111010001000…
…0111011100000
311110111012001100
43310100323200
5112343014410
610204234400
71405160421
oct364207340
9143435040
1064032480
1133165606
121953ba00
131035c555
14870b648
15594c8c0
hex3d10ee0

64032480 has 144 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 16733184.

The previous prime is 64032433. The next prime is 64032481. The reversal of 64032480 is 8423046.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64032481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75901 + ... + 76739.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 264032480 is an apocalyptic number.

64032480 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 64032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

64032480 is an abundant number, since it is smaller than the sum of its proper divisors (158866560).

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

64032480 is a wasteful number, since it uses less digits than its factorization.

64032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64032480 is about 8002.0297425091. The cubic root of 64032480 is about 400.0676552229.

The spelling of 64032480 in words is "sixty-four million, thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 839 848 954 1060 1272 1440 1590 1678 1696 1908 2120 2385 2517 2544 3180 3356 3816 4195 4240 4770 5034 5088 6360 6712 7551 7632 8390 8480 9540 10068 12585 12720 13424 15102 15264 16780 19080 20136 25170 25440 26848 30204 33560 37755 38160 40272 44467 50340 60408 67120 75510 76320 80544 88934 100680 120816 133401 134240 151020 177868 201360 222335 241632 266802 302040 355736 400203 402720 444670 533604 604080 667005 711472 800406 889340 1067208 1208160 1334010 1422944 1600812 1778680 2001015 2134416 2668020 3201624 3557360 4002030 4268832 5336040 6403248 7114720 8004060 10672080 12806496 16008120 21344160 32016240 64032480