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64970568 = 233213411693
BaseRepresentation
bin1111011111010…
…1111101001000
311112020211212100
43313311331020
5113113024233
610240313400
71416145365
oct367657510
9145224770
1064970568
1133746393
1219912860
13105ca530
1488b346c
155a85813
hex3df5f48

64970568 has 96 divisors (see below), whose sum is σ = 194234040. Its totient is φ = 19491840.

The previous prime is 64970537. The next prime is 64970569. The reversal of 64970568 is 86507946.

It can be written as a sum of positive squares in 4 ways, for example, as 23213124 + 41757444 = 4818^2 + 6462^2 .

It is not an unprimeable number, because it can be changed into a prime (64970569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37530 + ... + 39222.

Almost surely, 264970568 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 64970568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97117020).

64970568 is an abundant number, since it is smaller than the sum of its proper divisors (129263472).

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

64970568 is a wasteful number, since it uses less digits than its factorization.

64970568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64970568 is about 8060.4322464741. The cubic root of 64970568 is about 402.0118805429.

It can be divided in two parts, 649 and 70568, that added together give a palindrome (71217).

The spelling of 64970568 in words is "sixty-four million, nine hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1476 1599 1693 2132 2952 3198 3386 4264 4797 5079 6396 6772 9594 10158 12792 13544 15237 19188 20316 22009 30474 38376 40632 44018 60948 66027 69413 88036 121896 132054 138826 176072 198081 208239 264108 277652 396162 416478 528216 555304 624717 792324 832956 902369 1249434 1584648 1665912 1804738 2498868 2707107 3609476 4997736 5414214 7218952 8121321 10828428 16242642 21656856 32485284 64970568