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64632480 = 25351112241
BaseRepresentation
bin1111011010001…
…1011010100000
311111121200002120
43312203122200
5113021214410
610225144240
71413236613
oct366433240
9144550076
1064632480
1133535380
121978b080
131050c693
14882617a
155a1a570
hex3da36a0

64632480 has 96 divisors (see below), whose sum is σ = 222118848. Its totient is φ = 15667200.

The previous prime is 64632479. The next prime is 64632499. The reversal of 64632480 is 8423646.

64632480 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 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841 + ... + 11400.

It is an arithmetic number, because the mean of its divisors is an integer number (2313738).

Almost surely, 264632480 is an apocalyptic number.

64632480 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 64632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111059424).

64632480 is an abundant number, since it is smaller than the sum of its proper divisors (157486368).

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

64632480 is a wasteful number, since it uses less digits than its factorization.

64632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 64632480 is about 8039.4328158148. The cubic root of 64632480 is about 401.3133497284.

The spelling of 64632480 in words is "sixty-four million, six hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 12241 24482 36723 48964 61205 73446 97928 122410 134651 146892 183615 195856 244820 269302 293784 367230 391712 403953 489640 538604 587568 673255 734460 807906 979280 1077208 1175136 1346510 1468920 1615812 1958560 2019765 2154416 2693020 2937840 3231624 4039530 4308832 5386040 5875680 6463248 8079060 10772080 12926496 16158120 21544160 32316240 64632480