Search a number
-
+
649612964 = 2271113198539
BaseRepresentation
bin100110101110000…
…100111010100100
31200021100202110102
4212232010322210
52312300103324
6144243243232
722045422230
oct4656047244
91607322412
10649612964
11303764920
12161679518
13a4779a90
14623bd5c0
153c06cdae
hex26b84ea4

649612964 has 96 divisors (see below), whose sum is σ = 1606886400. Its totient is φ = 221304960.

The previous prime is 649612961. The next prime is 649612969. The reversal of 649612964 is 469216946.

It is not an unprimeable number, because it can be changed into a prime (649612961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71807 + ... + 80345.

It is an arithmetic number, because the mean of its divisors is an integer number (16738400).

Almost surely, 2649612964 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 649612964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803443200).

649612964 is an abundant number, since it is smaller than the sum of its proper divisors (957273436).

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

649612964 is a wasteful number, since it uses less digits than its factorization.

649612964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8591 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 649612964 is about 25487.5060372725. The cubic root of 649612964 is about 866.0671400671.

The spelling of 649612964 in words is "six hundred forty-nine million, six hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 8539 10868 17078 19019 34156 38038 59773 76076 93929 111007 119546 162241 187858 222014 239092 324482 375716 444028 648964 657503 777049 1135687 1221077 1315006 1554098 1784651 2109133 2271374 2442154 2630012 3108196 3569302 4218266 4542748 4884308 7138604 8436532 8547539 12492557 14763931 17095078 23200463 24985114 29527862 34190156 46400926 49970228 59055724 92801852 162403241 324806482 649612964