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649330944 = 2834717989
BaseRepresentation
bin100110101101000…
…000000100000000
31200020211102121020
4212231000010000
52312212042234
6144233225440
722043136063
oct4655000400
91606742536
10649330944
11303591a49
12161562280
13a46ab5c2
14623488da
153c014549
hex26b40100

649330944 has 72 divisors (see below), whose sum is σ = 1765034880. Its totient is φ = 211826688.

The previous prime is 649330933. The next prime is 649330949. The reversal of 649330944 is 449033946.

It is a super-3 number, since 3×6493309443 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 649330896 and 649330905.

It is not an unprimeable number, because it can be changed into a prime (649330949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27102 + ... + 45090.

Almost surely, 2649330944 is an apocalyptic number.

649330944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882517440).

649330944 is an abundant number, since it is smaller than the sum of its proper divisors (1115703936).

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

649330944 is a wasteful number, since it uses less digits than its factorization.

649330944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18055 (or 18041 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 649330944 is about 25481.9729220482. The cubic root of 649330944 is about 865.9417917841.

The spelling of 649330944 in words is "six hundred forty-nine million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 17989 18048 35978 36096 53967 71956 107934 143912 215868 287824 431736 575648 845483 863472 1151296 1690966 1726944 2302592 2536449 3381932 3453888 4605184 5072898 6763864 6907776 10145796 13527728 13815552 20291592 27055456 40583184 54110912 81166368 108221824 162332736 216443648 324665472 649330944