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968926824 = 233231434107
BaseRepresentation
bin111001110000001…
…010011001101000
32111112012120201200
4321300022121220
53441021124244
6240051244200
733003512355
oct7160123150
92445176650
10968926824
11457a30078
122305a9660
1312597a8a8
149297d62c
155a0e4669
hex39c0a668

968926824 has 48 divisors (see below), whose sum is σ = 2708833920. Its totient is φ = 312556320.

The previous prime is 968926823. The next prime is 968926843. The reversal of 968926824 is 428629869.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (968926823) 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, 214822 + ... + 219285.

It is an arithmetic number, because the mean of its divisors is an integer number (56434040).

Almost surely, 2968926824 is an apocalyptic number.

It is an amenable number.

968926824 is an abundant number, since it is smaller than the sum of its proper divisors (1739907096).

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

968926824 is a wasteful number, since it uses less digits than its factorization.

968926824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434150 (or 434143 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 968926824 is about 31127.5894344551. The cubic root of 968926824 is about 989.5331009276.

The spelling of 968926824 in words is "nine hundred sixty-eight million, nine hundred twenty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 434107 868214 1302321 1736428 2604642 3472856 3906963 5209284 7813926 10418568 13457317 15627852 26914634 31255704 40371951 53829268 80743902 107658536 121115853 161487804 242231706 322975608 484463412 968926824