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25693696 = 29767107
BaseRepresentation
bin110001000000…
…0111000000000
31210100101010101
41202000320000
523034144241
62314412144
7431251510
oct142007000
953311111
1025693696
111355a066
128731054
135427b92
1435ab840
1523c7e31
hex1880e00

25693696 has 80 divisors (see below), whose sum is σ = 60103296. Its totient is φ = 10745856.

The previous prime is 25693669. The next prime is 25693697. The reversal of 25693696 is 69639652.

25693696 is a nontrivial binomial coefficient, being equal to C(7169, 2).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25693697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240075 + ... + 240181.

Almost surely, 225693696 is an apocalyptic number.

25693696 is the 7168-th triangular number.

25693696 is the 2390-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30051648).

25693696 is an abundant number, since it is smaller than the sum of its proper divisors (34409600).

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

25693696 is an equidigital number, since it uses as much as digits as its factorization.

25693696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 524880, while the sum is 46.

The square root of 25693696 is about 5068.8949486057. The cubic root of 25693696 is about 295.0816435903.

The spelling of 25693696 in words is "twenty-five million, six hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 107 112 128 134 214 224 256 268 428 448 469 512 536 749 856 896 938 1072 1498 1712 1792 1876 2144 2996 3424 3584 3752 4288 5992 6848 7169 7504 8576 11984 13696 14338 15008 17152 23968 27392 28676 30016 34304 47936 50183 54784 57352 60032 95872 100366 114704 120064 191744 200732 229408 240128 383488 401464 458816 802928 917632 1605856 1835264 3211712 3670528 6423424 12846848 25693696