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25696440 = 23345711103
BaseRepresentation
bin110001000000…
…1100010111000
31210100111220000
41202001202320
523034241230
62314433000
7431262510
oct142014270
953314800
1025696440
1113561130
128732760
1354291c3
1435ac840
1523c8b60
hex18818b8

25696440 has 320 divisors, whose sum is σ = 108725760. Its totient is φ = 5287680.

The previous prime is 25696439. The next prime is 25696441. The reversal of 25696440 is 4469652.

25696440 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25696439) and next prime (25696441).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 25696395 and 25696404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25696441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249429 + ... + 249531.

It is an arithmetic number, because the mean of its divisors is an integer number (339768).

Almost surely, 225696440 is an apocalyptic number.

25696440 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 25696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

25696440 is an abundant number, since it is smaller than the sum of its proper divisors (83029320).

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

25696440 is a wasteful number, since it uses less digits than its factorization.

25696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 25696440 is about 5069.1656118142. The cubic root of 25696440 is about 295.0921477908.

It can be divided in two parts, 2569 and 6440, that added together give a palindrome (9009).

The spelling of 25696440 in words is "twenty-five million, six hundred ninety-six thousand, four hundred forty".