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868962816 = 293423911
BaseRepresentation
bin110011110010110…
…101001000000000
32020120002212220000
4303302311020000
53234423302231
6222120520000
730351030201
oct6362651000
92216085800
10868962816
11406563697
12203020000
1310b04a5a7
148359b5a8
155144a6e6
hex33cb5200

868962816 has 200 divisors, whose sum is σ = 2709362304. Its totient is φ = 276756480.

The previous prime is 868962779. The next prime is 868962817. The reversal of 868962816 is 618269868.

It is a happy number.

868962816 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (868962817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 953401 + ... + 954311.

Almost surely, 2868962816 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 868962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354681152).

868962816 is an abundant number, since it is smaller than the sum of its proper divisors (1840399488).

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

868962816 is an equidigital number, since it uses as much as digits as its factorization.

868962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 939 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 868962816 is about 29478.1752488176. The cubic root of 868962816 is about 954.2607570108.

The spelling of 868962816 in words is "eight hundred sixty-eight million, nine hundred sixty-two thousand, eight hundred sixteen".