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678363876 = 223315141597
BaseRepresentation
bin101000011011110…
…000001011100100
31202021110110022000
4220123300023210
52342130121001
6151151405300
722544666151
oct5033601344
91667413260
10678363876
11318a11903
1216b223830
13aa705358
1466145228
153e84ba86
hex286f02e4

678363876 has 48 divisors (see below), whose sum is σ = 1770410880. Its totient is φ = 224618400.

The previous prime is 678363841. The next prime is 678363877.

678363876 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (678363877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4491 + ... + 37106.

It is an arithmetic number, because the mean of its divisors is an integer number (36883560).

Almost surely, 2678363876 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 678363876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885205440).

678363876 is an abundant number, since it is smaller than the sum of its proper divisors (1092047004).

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

678363876 is a wasteful number, since it uses less digits than its factorization.

678363876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41761 (or 41753 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 678363876 is about 26045.4194821278. The cubic root of 678363876 is about 878.6600975861.

The spelling of 678363876 in words is "six hundred seventy-eight million, three hundred sixty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 8154 16308 41597 83194 124791 166388 249582 374373 499164 748746 1123119 1497492 2246238 4492476 6281147 12562294 18843441 25124588 37686882 56530323 75373764 113060646 169590969 226121292 339181938 678363876