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649051056 = 2435971721
BaseRepresentation
bin100110101011111…
…011101110110000
31200020022012200000
4212223323232300
52312124113211
6144223230000
722040562063
oct4653735660
91606265600
10649051056
11303410735
12161448300
13a46110a4
14622b48da
153beab656
hex26afbbb0

649051056 has 120 divisors (see below), whose sum is σ = 1904242704. Its totient is φ = 213995520.

The previous prime is 649051009. The next prime is 649051093. The reversal of 649051056 is 650150946.

649051056 is a `hidden beast` number, since 6 + 4 + 90 + 510 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 649051056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376276 + ... + 377996.

Almost surely, 2649051056 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 649051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952121352).

649051056 is an abundant number, since it is smaller than the sum of its proper divisors (1255191648).

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

649051056 is a wasteful number, since it uses less digits than its factorization.

649051056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 649051056 is about 25476.4804476600. The cubic root of 649051056 is about 865.8173552133.

The spelling of 649051056 in words is "six hundred forty-nine million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 243 291 324 388 432 486 582 648 776 873 972 1164 1296 1552 1721 1746 1944 2328 2619 3442 3492 3888 4656 5163 5238 6884 6984 7857 10326 10476 13768 13968 15489 15714 20652 20952 23571 27536 30978 31428 41304 41904 46467 47142 61956 62856 82608 92934 94284 123912 125712 139401 166937 185868 188568 247824 278802 333874 371736 377136 418203 500811 557604 667748 743472 836406 1001622 1115208 1335496 1502433 1672812 2003244 2230416 2670992 3004866 3345624 4006488 4507299 6009732 6691248 8012976 9014598 12019464 13521897 18029196 24038928 27043794 36058392 40565691 54087588 72116784 81131382 108175176 162262764 216350352 324525528 649051056