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649670868 = 223471126041
BaseRepresentation
bin100110101110010…
…011000011010100
31200021110200220000
4212232103003110
52312303431433
6144244411300
722046053110
oct4656230324
91607420800
10649670868
113037a4380
121616a6b30
13a479a242
14623d6740
153c080113
hex26b930d4

649670868 has 120 divisors (see below), whose sum is σ = 2117527104. Its totient is φ = 168739200.

The previous prime is 649670863. The next prime is 649670869. The reversal of 649670868 is 868076946.

649670868 is a `hidden beast` number, since 6 + 496 + 70 + 86 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649670863) 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, 11928 + ... + 37968.

Almost surely, 2649670868 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 649670868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058763552).

649670868 is an abundant number, since it is smaller than the sum of its proper divisors (1467856236).

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

649670868 is a wasteful number, since it uses less digits than its factorization.

649670868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26075 (or 26064 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 649670868 is about 25488.6419410686. The cubic root of 649670868 is about 866.0928719333.

The spelling of 649670868 in words is "six hundred forty-nine million, six hundred seventy thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 26041 52082 78123 104164 156246 182287 234369 286451 312492 364574 468738 546861 572902 703107 729148 859353 937476 1093722 1145804 1406214 1640583 1718706 2005157 2109321 2187444 2578059 2812428 3281166 3437412 4010314 4218642 4921749 5156118 6015471 6562332 7734177 8020628 8437284 9843498 10312236 12030942 14765247 15468354 18046413 19686996 23202531 24061884 29530494 30936708 36092826 46405062 54139239 59060988 72185652 92810124 108278478 162417717 216556956 324835434 649670868