Search a number
-
+
679385088 = 21132293141
BaseRepresentation
bin101000011111101…
…001100000000000
31202100101100010200
4220133221200000
52342410310323
6151225325200
722556451354
oct5037514000
91670340120
10679385088
1131954a088
1216b636800
13aa9a2115
146632d464
153e99e443
hex287e9800

679385088 has 288 divisors, whose sum is σ = 2146435200. Its totient is φ = 206438400.

The previous prime is 679385087. The next prime is 679385099. The reversal of 679385088 is 880583976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679385087) by changing a digit.

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, 16570348 + ... + 16570388.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2679385088 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 679385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

679385088 is an abundant number, since it is smaller than the sum of its proper divisors (1467050112).

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

679385088 is a wasteful number, since it uses less digits than its factorization.

679385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 679385088 is about 26065.0165547617. The cubic root of 679385088 is about 879.1007894615.

The spelling of 679385088 in words is "six hundred seventy-nine million, three hundred eighty-five thousand, eighty-eight".