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649759482 = 23417713323
BaseRepresentation
bin100110101110101…
…000101011111010
31200021122012110000
4212232220223322
52312314300412
6144250333430
722046602341
oct4656505372
91607565400
10649759482
11303854a09
1216172a276
13a47cb688
146241ab58
153c09b4dc
hex26ba8afa

649759482 has 80 divisors (see below), whose sum is σ = 1563769152. Its totient is φ = 200914560.

The previous prime is 649759469. The next prime is 649759483. The reversal of 649759482 is 284957946.

649759482 is a `hidden beast` number, since 6 + 49 + 7 + 594 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (649759483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193873 + ... + 197195.

Almost surely, 2649759482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649759482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781884576).

649759482 is an abundant number, since it is smaller than the sum of its proper divisors (914009670).

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

649759482 is a wasteful number, since it uses less digits than its factorization.

649759482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3416 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 649759482 is about 25490.3801854739. The cubic root of 649759482 is about 866.1322480074.

The spelling of 649759482 in words is "six hundred forty-nine million, seven hundred fifty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 81 102 142 153 162 213 306 426 459 639 918 1207 1278 1377 1917 2414 2754 3323 3621 3834 5751 6646 7242 9969 10863 11502 19938 21726 29907 32589 56491 59814 65178 89721 97767 112982 169473 179442 195534 235933 269163 338946 471866 508419 538326 707799 1016838 1415598 1525257 2123397 3050514 4010861 4246794 4575771 6370191 8021722 9151542 12032583 12740382 19110573 24065166 36097749 38221146 72195498 108293247 216586494 324879741 649759482