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8682897384 = 23377312287
BaseRepresentation
bin10000001011000101…
…00111111111101000
3211102010101220000000
420011202213333220
5120240310204014
63553332343000
7425112260430
oct100542477750
924363356000
108682897384
1137562a6357
121823a74a60
13a84b74b05
145c526d2c0
1535c440509
hex2058a7fe8

8682897384 has 256 divisors, whose sum is σ = 28817817600. Its totient is φ = 2399751360.

The previous prime is 8682897383. The next prime is 8682897439. The reversal of 8682897384 is 4837982868.

8682897384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (8682897383) 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 63 ways as a sum of consecutive naturals, for example, 3795489 + ... + 3797775.

It is an arithmetic number, because the mean of its divisors is an integer number (112569600).

Almost surely, 28682897384 is an apocalyptic number.

8682897384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8682897384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408908800).

8682897384 is an abundant number, since it is smaller than the sum of its proper divisors (20134920216).

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

8682897384 is a wasteful number, since it uses less digits than its factorization.

8682897384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2330 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 8682897384 is about 93182.0657852143. The cubic root of 8682897384 is about 2055.3615262503.

The spelling of 8682897384 in words is "eight billion, six hundred eighty-two million, eight hundred ninety-seven thousand, three hundred eighty-four".