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64539552 = 2537118731
BaseRepresentation
bin1111011000110…
…0101110100000
311111102221121210
43312030232200
5113010231202
610223150120
71412401650
oct366145640
9144387553
1064539552
1133481580
1219745340
13104a92ac
148800360
1559ecc6c
hex3d8cba0

64539552 has 96 divisors (see below), whose sum is σ = 211244544. Its totient is φ = 16761600.

The previous prime is 64539547. The next prime is 64539583. The reversal of 64539552 is 25593546.

64539552 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 self number, because there is not a number n which added to its sum of digits gives 64539552.

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, 3027 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (2200464).

Almost surely, 264539552 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 64539552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105622272).

64539552 is an abundant number, since it is smaller than the sum of its proper divisors (146704992).

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

64539552 is a wasteful number, since it uses less digits than its factorization.

64539552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762 (or 8754 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 64539552 is about 8033.6512246923. The cubic root of 64539552 is about 401.1209225640.

The spelling of 64539552 in words is "sixty-four million, five hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 8731 17462 26193 34924 52386 61117 69848 96041 104772 122234 139696 183351 192082 209544 244468 279392 288123 366702 384164 419088 488936 576246 672287 733404 768328 838176 977872 1152492 1344574 1466808 1536656 1955744 2016861 2304984 2689148 2933616 3073312 4033722 4609968 5378296 5867232 8067444 9219936 10756592 16134888 21513184 32269776 64539552