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649690016 = 25232961499
BaseRepresentation
bin100110101110010…
…111101110100000
31200021111200011012
4212232113232200
52312310040031
6144245040052
722046162663
oct4656275640
91607450135
10649690016
113038077a8
121616b6028
13a47a5b81
14623dd6da
153c085b2b
hex26b97ba0

649690016 has 96 divisors (see below), whose sum is σ = 1406160000. Its totient is φ = 294497280.

The previous prime is 649689991. The next prime is 649690049. The reversal of 649690016 is 610096946.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301735 + ... + 1302233.

It is an arithmetic number, because the mean of its divisors is an integer number (14647500).

Almost surely, 2649690016 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 649690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080000).

649690016 is an abundant number, since it is smaller than the sum of its proper divisors (756469984).

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

649690016 is a wasteful number, since it uses less digits than its factorization.

649690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 649690016 is about 25489.0175565870. The cubic root of 649690016 is about 866.1013807461.

The spelling of 649690016 in words is "six hundred forty-nine million, six hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 23 29 32 46 58 61 92 116 122 184 232 244 368 464 488 499 667 736 928 976 998 1334 1403 1769 1952 1996 2668 2806 3538 3992 5336 5612 7076 7984 10672 11224 11477 14152 14471 15968 21344 22448 22954 28304 28942 30439 40687 44896 45908 56608 57884 60878 81374 91816 115768 121756 162748 183632 231536 243512 325496 332833 367264 463072 487024 650992 665666 700097 882731 974048 1301984 1331332 1400194 1765462 2662664 2800388 3530924 5325328 5600776 7061848 10650656 11201552 14123696 20302813 22403104 28247392 40605626 81211252 162422504 324845008 649690016