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649642968 = 2332134316141
BaseRepresentation
bin100110101110001…
…100001111011000
31200021102021121200
4212232030033120
52312302033333
6144244034200
722045605552
oct4656141730
91607367550
10649642968
11303785417
12161692960
13a478a630
14623ca4d2
153c076c13
hex26b8c3d8

649642968 has 96 divisors (see below), whose sum is σ = 1938977040. Its totient is φ = 195229440.

The previous prime is 649642967. The next prime is 649643021. The reversal of 649642968 is 869246946.

649642968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649642967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32178 + ... + 48318.

Almost surely, 2649642968 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 649642968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969488520).

649642968 is an abundant number, since it is smaller than the sum of its proper divisors (1289334072).

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

649642968 is a wasteful number, since it uses less digits than its factorization.

649642968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16209 (or 16202 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 649642968 is about 25488.0946325927. The cubic root of 649642968 is about 866.0804736877.

The spelling of 649642968 in words is "six hundred forty-nine million, six hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 5031 6708 10062 13416 16141 20124 32282 40248 48423 64564 96846 129128 145269 193692 209833 290538 387384 419666 581076 629499 694063 839332 1162152 1258998 1388126 1678664 1888497 2082189 2517996 2776252 3776994 4164378 5035992 5552504 6246567 7553988 8328756 9022819 12493134 15107976 16657512 18045638 24986268 27068457 36091276 49972536 54136914 72182552 81205371 108273828 162410742 216547656 324821484 649642968