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649902960 = 24335753811
BaseRepresentation
bin100110101111001…
…011101101110000
31200021220111021000
4212233023231300
52312333343320
6144253402000
722051040550
oct4657135560
91607814230
10649902960
11303942793
12161799300
13a484ba85
1462457160
153c0c8c90
hex26bcbb70

649902960 has 320 divisors, whose sum is σ = 2609832960. Its totient is φ = 145566720.

The previous prime is 649902959. The next prime is 649902971. The reversal of 649902960 is 69209946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 800955 + ... + 801765.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2649902960 is an apocalyptic number.

649902960 is a gapful number since it is divisible by the number (60) 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 649902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304916480).

649902960 is an abundant number, since it is smaller than the sum of its proper divisors (1959930000).

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

649902960 is a wasteful number, since it uses less digits than its factorization.

649902960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 649902960 is about 25493.1943859533. The cubic root of 649902960 is about 866.1959955838.

The spelling of 649902960 in words is "six hundred forty-nine million, nine hundred two thousand, nine hundred sixty".