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676579904 = 267111359179
BaseRepresentation
bin101000010100111…
…100101001000000
31202011002211010222
4220110330221000
52341201024104
6151045242212
722523556110
oct5024745100
91664084128
10676579904
11317a03550
1216a703368
13aa22c350
1465bdd040
153e5e81be
hex2853ca40

676579904 has 224 divisors, whose sum is σ = 1843430400. Its totient is φ = 237864960.

The previous prime is 676579879. The next prime is 676579913. The reversal of 676579904 is 409975676.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 3779687 + ... + 3779865.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2676579904 is an apocalyptic number.

676579904 is a gapful number since it is divisible by the number (64) 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 676579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

676579904 is an abundant number, since it is smaller than the sum of its proper divisors (1166850496).

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

676579904 is a wasteful number, since it uses less digits than its factorization.

676579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 53.

The square root of 676579904 is about 26011.1496093502. The cubic root of 676579904 is about 877.8891833510.

The spelling of 676579904 in words is "six hundred seventy-six million, five hundred seventy-nine thousand, nine hundred four".