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25680168 = 2332973677
BaseRepresentation
bin110000111110…
…1100100101000
31210022200120100
41201331210220
523033231133
62314225400
7431164203
oct141754450
953280510
1025680168
111354a988
128725260
135421987
1435a693a
1523c3e13
hex187d928

25680168 has 48 divisors (see below), whose sum is σ = 70286580. Its totient is φ = 8469504.

The previous prime is 25680139. The next prime is 25680169. The reversal of 25680168 is 86108652.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 459684 = 5022^2 + 678^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25680169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5146 + ... + 8822.

Almost surely, 225680168 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 25680168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143290).

25680168 is an abundant number, since it is smaller than the sum of its proper divisors (44606412).

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

25680168 is a wasteful number, since it uses less digits than its factorization.

25680168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25680168 is about 5067.5603597787. The cubic root of 25680168 is about 295.0298466402.

The spelling of 25680168 in words is "twenty-five million, six hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 3677 6984 7354 11031 14708 22062 29416 33093 44124 66186 88248 132372 264744 356669 713338 1070007 1426676 2140014 2853352 3210021 4280028 6420042 8560056 12840084 25680168