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968060808 = 2334111331337
BaseRepresentation
bin111001101100110…
…110111110001000
32111110120120210000
4321230312332020
53440310421213
6240020523000
732663244501
oct7154667610
92443516700
10968060808
11457499460
12230250460
13125736660
14927d5ba8
1559ec2c73
hex39b36f88

968060808 has 320 divisors, whose sum is σ = 3298014720. Its totient is φ = 261273600.

The previous prime is 968060761. The next prime is 968060809. The reversal of 968060808 is 808060869.

It is a super-2 number, since 2×9680608082 = 1874283455971225728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968060809) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2872416 + ... + 2872752.

It is an arithmetic number, because the mean of its divisors is an integer number (10306296).

Almost surely, 2968060808 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 968060808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649007360).

968060808 is an abundant number, since it is smaller than the sum of its proper divisors (2329953912).

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

968060808 is a wasteful number, since it uses less digits than its factorization.

968060808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 968060808 is about 31113.6755784334. The cubic root of 968060808 is about 989.2382018307.

The spelling of 968060808 in words is "nine hundred sixty-eight million, sixty thousand, eight hundred eight".