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649140804 = 223413229673
BaseRepresentation
bin100110101100010…
…001101001000100
31200020110202210000
4212230101221010
52312140001204
6144225201300
722041414534
oct4654215104
91606422700
10649140804
11303472104
12161490230
13a4642bb0
14622d94c4
153bec8039
hex26b11a44

649140804 has 120 divisors (see below), whose sum is σ = 1838227160. Its totient is φ = 198567936.

The previous prime is 649140803. The next prime is 649140809. The reversal of 649140804 is 408041946.

It is a happy number.

649140804 is a `hidden beast` number, since 649 + 1 + 4 + 0 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84603204 + 564537600 = 9198^2 + 23760^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649140803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 964212 + ... + 964884.

Almost surely, 2649140804 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 649140804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919113580).

649140804 is an abundant number, since it is smaller than the sum of its proper divisors (1189086356).

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

649140804 is a wasteful number, since it uses less digits than its factorization.

649140804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 649140804 is about 25478.2417760724. The cubic root of 649140804 is about 865.8572605459.

The spelling of 649140804 in words is "six hundred forty-nine million, one hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 229 234 324 351 458 468 673 687 702 916 1053 1346 1374 1404 2019 2061 2106 2692 2748 2977 4038 4122 4212 5954 6057 6183 8076 8244 8749 8931 11908 12114 12366 17498 17862 18171 18549 24228 24732 26247 26793 34996 35724 36342 37098 52494 53586 54513 72684 74196 78741 80379 104988 107172 109026 154117 157482 160758 218052 236223 241137 308234 314964 321516 462351 472446 482274 616468 708669 924702 944892 964548 1387053 1417338 1849404 2003521 2774106 2834676 4007042 4161159 5548212 6010563 8014084 8322318 12021126 12483477 16644636 18031689 24042252 24966954 36063378 49933908 54095067 72126756 108190134 162285201 216380268 324570402 649140804