Search a number
-
+
64856736 = 2532753607
BaseRepresentation
bin1111011101101…
…0001010100000
311112001001201100
43313122022200
5113100403421
610234034400
71415162460
oct367321240
9145031640
1064856736
113367890a
1219878a00
131058a789
148883ba0
155a61c26
hex3dda2a0

64856736 has 144 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 18150912.

The previous prime is 64856723. The next prime is 64856749. The reversal of 64856736 is 63765846.

64856736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64856723) and next prime (64856749).

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

Its product of digits (725760) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 64856691 and 64856700.

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 23 ways as a sum of consecutive naturals, for example, 106545 + ... + 107151.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 264856736 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 64856736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

64856736 is an abundant number, since it is smaller than the sum of its proper divisors (150258528).

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

64856736 is a wasteful number, since it uses less digits than its factorization.

64856736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 64856736 is about 8053.3679910954. The cubic root of 64856736 is about 401.7769610013.

The spelling of 64856736 in words is "sixty-four million, eight hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 607 636 672 742 848 954 1008 1113 1214 1272 1484 1696 1821 1908 2016 2226 2428 2544 2968 3339 3642 3816 4249 4452 4856 5088 5463 5936 6678 7284 7632 8498 8904 9712 10926 11872 12747 13356 14568 15264 16996 17808 19424 21852 25494 26712 29136 32171 33992 35616 38241 43704 50988 53424 58272 64342 67984 76482 87408 96513 101976 106848 128684 135968 152964 174816 193026 203952 225197 257368 289539 305928 386052 407904 450394 514736 579078 611856 675591 772104 900788 1029472 1158156 1223712 1351182 1544208 1801576 2026773 2316312 2702364 3088416 3603152 4053546 4632624 5404728 7206304 8107092 9265248 10809456 16214184 21618912 32428368 64856736