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678971048 = 23728092141
BaseRepresentation
bin101000011110000…
…100011010101000
31202022121022011212
4220132010122220
52342304033143
6151212412252
722553105300
oct5036043250
91668538155
10678971048
11319296aa8
1216b477088
13aa888822
1466262600
153e91b918
hex287846a8

678971048 has 48 divisors (see below), whose sum is σ = 1483442100. Its totient is φ = 290492160.

The previous prime is 678971011. The next prime is 678971081. The reversal of 678971048 is 840179876.

It can be written as a sum of positive squares in 2 ways, for example, as 522671044 + 156300004 = 22862^2 + 12502^2 .

It is a super-2 number, since 2×6789710482 = 922003368044436608, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 678970987 and 678971005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316058 + ... + 318198.

Almost surely, 2678971048 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 678971048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741721050).

678971048 is an abundant number, since it is smaller than the sum of its proper divisors (804471052).

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

678971048 is a wasteful number, since it uses less digits than its factorization.

678971048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 678971048 is about 26057.0728977758. The cubic root of 678971048 is about 878.9221686943.

The spelling of 678971048 in words is "six hundred seventy-eight million, nine hundred seventy-one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 809 1618 2141 3236 4282 5663 6472 8564 11326 14987 17128 22652 29974 39641 45304 59948 79282 104909 119896 158564 209818 317128 419636 839272 1732069 3464138 6928276 12124483 13856552 24248966 48497932 84871381 96995864 169742762 339485524 678971048