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676912896 = 28331129307
BaseRepresentation
bin101000010110001…
…101111100000000
31202011201201221000
4220112031330000
52341242203041
6151100332000
722526443662
oct5026157400
91664651830
10676912896
11318110750
1216a844000
13aa317a9a
1465c88532
153e661bb6
hex2858df00

676912896 has 288 divisors, whose sum is σ = 2266387200. Its totient is φ = 197406720.

The previous prime is 676912883. The next prime is 676912927. The reversal of 676912896 is 698219676.

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

It is a super-2 number, since 2×6769128962 = 916422137542213632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204775 + ... + 2205081.

It is an arithmetic number, because the mean of its divisors is an integer number (7869400).

Almost surely, 2676912896 is an apocalyptic number.

676912896 is a gapful number since it is divisible by the number (66) 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 676912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133193600).

676912896 is an abundant number, since it is smaller than the sum of its proper divisors (1589474304).

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

676912896 is a wasteful number, since it uses less digits than its factorization.

676912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 676912896 is about 26017.5497693384. The cubic root of 676912896 is about 878.0331831593.

The spelling of 676912896 in words is "six hundred seventy-six million, nine hundred twelve thousand, eight hundred ninety-six".