Search a number
-
+
868212576 = 253273111747
BaseRepresentation
bin110011101111111…
…101111101100000
32020111200202202100
4303233331331200
53234230300301
6222052450400
730341454000
oct6357757540
92214622670
10868212576
114060a0a60
12202919a00
1310ab46c6a
1483444000
155134d286
hex33bfdf60

868212576 has 576 divisors, whose sum is σ = 3396556800. Its totient is φ = 207728640.

The previous prime is 868212571. The next prime is 868212649. The reversal of 868212576 is 675212868.

868212576 is a `hidden beast` number, since 8 + 68 + 2 + 12 + 576 = 666.

Its product of digits (322560) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868212571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18472585 + ... + 18472631.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2868212576 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 868212576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

868212576 is an abundant number, since it is smaller than the sum of its proper divisors (2528344224).

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

868212576 is a wasteful number, since it uses less digits than its factorization.

868212576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 868212576 is about 29465.4471542517. The cubic root of 868212576 is about 953.9860499259.

It can be divided in two parts, 868 and 212576, that added together give a square (213444 = 4622).

The spelling of 868212576 in words is "eight hundred sixty-eight million, two hundred twelve thousand, five hundred seventy-six".