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650983968 = 25326013761
BaseRepresentation
bin100110110011010…
…011101000100000
31200100221102010100
4212303103220200
52313122441333
6144332502400
722063162305
oct4663235040
91610842110
10650983968
11304510988
1216201aa00
13a4b39b1b
14626590ac
153c23e213
hex26cd3a20

650983968 has 72 divisors (see below), whose sum is σ = 1854808956. Its totient is φ = 216576000.

The previous prime is 650983961. The next prime is 650983979. The reversal of 650983968 is 869389056.

It can be written as a sum of positive squares in 2 ways, for example, as 634435344 + 16548624 = 25188^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (650983961) 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 11 ways as a sum of consecutive naturals, for example, 171208 + ... + 174968.

Almost surely, 2650983968 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 650983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927404478).

650983968 is an abundant number, since it is smaller than the sum of its proper divisors (1203824988).

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

650983968 is a wasteful number, since it uses less digits than its factorization.

650983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 650983968 is about 25514.3874706018. The cubic root of 650983968 is about 866.6759883284.

The spelling of 650983968 in words is "six hundred fifty million, nine hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 601 1202 1803 2404 3606 3761 4808 5409 7212 7522 9616 10818 11283 14424 15044 19232 21636 22566 28848 30088 33849 43272 45132 57696 60176 67698 86544 90264 120352 135396 173088 180528 270792 361056 541584 1083168 2260361 4520722 6781083 9041444 13562166 18082888 20343249 27124332 36165776 40686498 54248664 72331552 81372996 108497328 162745992 216994656 325491984 650983968