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964796640 = 253523281311
BaseRepresentation
bin111001100000011…
…010000011100000
32111020102202011220
4321200122003200
53433441443030
6235422535040
732623431123
oct7140320340
92436382156
10964796640
11455669aa5
1222b137480
13124b629b2
14921c63ba
1559a7aa10
hex3981a0e0

964796640 has 192 divisors, whose sum is σ = 3192763392. Its totient is φ = 244428800.

The previous prime is 964796627. The next prime is 964796647. The reversal of 964796640 is 46697469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964796647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3102085 + ... + 3102395.

It is an arithmetic number, because the mean of its divisors is an integer number (16628976).

Almost surely, 2964796640 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 964796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596381696).

964796640 is an abundant number, since it is smaller than the sum of its proper divisors (2227966752).

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

964796640 is a wasteful number, since it uses less digits than its factorization.

964796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 964796640 is about 31061.1757665417. The cubic root of 964796640 is about 988.1250913860.

The spelling of 964796640 in words is "nine hundred sixty-four million, seven hundred ninety-six thousand, six hundred forty".