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676802880 = 263251318077
BaseRepresentation
bin101000010101110…
…011000101000000
31202011112011000100
4220111303011000
52341230143010
6151054122400
722525505145
oct5025630500
91664464010
10676802880
11318046026
1216a7b0400
13aa2a99a0
1465c5a3cc
153e63e2c0
hex28573140

676802880 has 168 divisors, whose sum is σ = 2507129352. Its totient is φ = 166588416.

The previous prime is 676802873. The next prime is 676802891. The reversal of 676802880 is 88208676.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 555450624 = 11016^2 + 23568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28402 + ... + 46478.

It is an arithmetic number, because the mean of its divisors is an integer number (14923389).

Almost surely, 2676802880 is an apocalyptic number.

676802880 is a gapful number since it is divisible by the number (60) 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 676802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253564676).

676802880 is an abundant number, since it is smaller than the sum of its proper divisors (1830326472).

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

676802880 is a wasteful number, since it uses less digits than its factorization.

676802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 676802880 is about 26015.4354182282. The cubic root of 676802880 is about 877.9856128180.

The spelling of 676802880 in words is "six hundred seventy-six million, eight hundred two thousand, eight hundred eighty".