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25868240 = 245536101
BaseRepresentation
bin110001010101…
…1011111010000
31210200020112222
41202223133100
523110240430
62322240212
7432606416
oct142533720
953606488
1025868240
1113669212
1287b6068
135489468
1436152b6
15240e9e5
hex18ab7d0

25868240 has 40 divisors (see below), whose sum is σ = 61288488. Its totient is φ = 10150400.

The previous prime is 25868233. The next prime is 25868279. The reversal of 25868240 is 4286852.

It can be written as a sum of positive squares in 4 ways, for example, as 6012304 + 19855936 = 2452^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 25868240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 7290.

Almost surely, 225868240 is an apocalyptic number.

25868240 is a gapful number since it is divisible by the number (20) 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 25868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30644244).

25868240 is an abundant number, since it is smaller than the sum of its proper divisors (35420248).

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

25868240 is a wasteful number, since it uses less digits than its factorization.

25868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 25868240 is about 5086.0829721899. The cubic root of 25868240 is about 295.7483251530.

The spelling of 25868240 in words is "twenty-five million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 6101 12202 24404 30505 48808 61010 97616 122020 244040 323353 488080 646706 1293412 1616765 2586824 3233530 5173648 6467060 12934120 25868240