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649841664 = 21031991063
BaseRepresentation
bin100110101110111…
…100110000000000
31200021210101011210
4212232330300000
52312324413124
6144252210120
722050364053
oct4656746000
91607711153
10649841664
1130390072a
12161769940
13a4829bc4
146243ca9a
153c0b5a29
hex26bbcc00

649841664 has 88 divisors (see below), whose sum is σ = 1742406400. Its totient is φ = 215322624.

The previous prime is 649841651. The next prime is 649841669. The reversal of 649841664 is 466148946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (649841669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610797 + ... + 611859.

Almost surely, 2649841664 is an apocalyptic number.

649841664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871203200).

649841664 is an abundant number, since it is smaller than the sum of its proper divisors (1092564736).

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

649841664 is a wasteful number, since it uses less digits than its factorization.

649841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1267 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 649841664 is about 25491.9921544002. The cubic root of 649841664 is about 866.1687627905.

The spelling of 649841664 in words is "six hundred forty-nine million, eight hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1024 1063 1194 1536 1592 2126 2388 3072 3184 3189 4252 4776 6368 6378 8504 9552 12736 12756 17008 19104 25472 25512 34016 38208 50944 51024 68032 76416 101888 102048 136064 152832 203776 204096 211537 272128 305664 408192 423074 544256 611328 634611 816384 846148 1088512 1269222 1632768 1692296 2538444 3265536 3384592 5076888 6769184 10153776 13538368 20307552 27076736 40615104 54153472 81230208 108306944 162460416 216613888 324920832 649841664