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64853568 = 2633132887
BaseRepresentation
bin1111011101100…
…1011001000000
311112000220101000
43313121121000
5113100303233
610234012000
71415150313
oct367313100
9145026330
1064853568
113367649a
1219877000
13105891c0
14888297a
155a60d13
hex3dd9640

64853568 has 112 divisors (see below), whose sum is σ = 205394560. Its totient is φ = 19948032.

The previous prime is 64853531. The next prime is 64853573. The reversal of 64853568 is 86535846.

64853568 is a `hidden beast` number, since 6 + 4 + 85 + 3 + 568 = 666.

64853568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 21021 + ... + 23907.

It is an arithmetic number, because the mean of its divisors is an integer number (1833880).

Almost surely, 264853568 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 64853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102697280).

64853568 is an abundant number, since it is smaller than the sum of its proper divisors (140540992).

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

64853568 is a wasteful number, since it uses less digits than its factorization.

64853568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2905 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 64853568 is about 8053.1713007982. The cubic root of 64853568 is about 401.7704191460.

The spelling of 64853568 in words is "sixty-four million, eight hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 2887 3744 5616 5774 7488 8661 11232 11548 17322 22464 23096 25983 34644 37531 46192 51966 69288 75062 77949 92384 103932 112593 138576 150124 155898 184768 207864 225186 277152 300248 311796 337779 415728 450372 554304 600496 623592 675558 831456 900744 1013337 1200992 1247184 1351116 1662912 1801488 2026674 2401984 2494368 2702232 3602976 4053348 4988736 5404464 7205952 8106696 10808928 16213392 21617856 32426784 64853568