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25693668 = 2232711132331
BaseRepresentation
bin110001000000…
…0110111100100
31210100101002100
41202000313210
523034144133
62314412100
7431251440
oct142006744
953311070
1025693668
111355a040
128731030
135427b70
1435ab820
1523c7e13
hex1880de4

25693668 has 288 divisors, whose sum is σ = 93929472. Its totient is φ = 5702400.

The previous prime is 25693649. The next prime is 25693669. The reversal of 25693668 is 86639652.

It is a happy number.

Its product of digits (466560) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (25693669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828813 + ... + 828843.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 225693668 is an apocalyptic number.

25693668 is a gapful number since it is divisible by the number (28) 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 25693668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46964736).

25693668 is an abundant number, since it is smaller than the sum of its proper divisors (68235804).

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

25693668 is a wasteful number, since it uses less digits than its factorization.

25693668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 25693668 is about 5068.8921866617. The cubic root of 25693668 is about 295.0815364007.

The spelling of 25693668 in words is "twenty-five million, six hundred ninety-three thousand, six hundred sixty-eight".