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868244832 = 2536713409
BaseRepresentation
bin110011110000000…
…101110101100000
32020111202102000000
4303300011311200
53234232313312
6222053300000
730341650020
oct6360056540
92214672000
10868244832
11406113214
12202934600
1310ab58850
1483451a80
1551357adc
hex33c05d60

868244832 has 336 divisors, whose sum is σ = 3162005280. Its totient is φ = 228427776.

The previous prime is 868244831. The next prime is 868244837. The reversal of 868244832 is 238442868.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868244831) 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 55 ways as a sum of consecutive naturals, for example, 2122644 + ... + 2123052.

It is an arithmetic number, because the mean of its divisors is an integer number (9410730).

Almost surely, 2868244832 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 868244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581002640).

868244832 is an abundant number, since it is smaller than the sum of its proper divisors (2293760448).

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

868244832 is a wasteful number, since it uses less digits than its factorization.

868244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 868244832 is about 29465.9945021375. The cubic root of 868244832 is about 953.9978640038.

The spelling of 868244832 in words is "eight hundred sixty-eight million, two hundred forty-four thousand, eight hundred thirty-two".