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25256440 = 2351161941
BaseRepresentation
bin110000001011…
…0000111111000
31202112011022201
41200112013320
522431201230
62301155544
7424450636
oct140260770
952464281
1025256440
11132905a0
12855bbb4
135303b51
1434d6356
15233d5ca
hex18161f8

25256440 has 64 divisors (see below), whose sum is σ = 63076320. Its totient is φ = 9024000.

The previous prime is 25256431. The next prime is 25256447. The reversal of 25256440 is 4465252.

It is a super-2 number, since 2×252564402 = 1275775522947200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25256399 and 25256408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25256447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26370 + ... + 27310.

Almost surely, 225256440 is an apocalyptic number.

25256440 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 25256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31538160).

25256440 is an abundant number, since it is smaller than the sum of its proper divisors (37819880).

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

25256440 is a wasteful number, since it uses less digits than its factorization.

25256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 25256440 is about 5025.5785736570. The cubic root of 25256440 is about 293.3981548664.

The spelling of 25256440 in words is "twenty-five million, two hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 941 1220 1342 1882 2440 2684 3355 3764 4705 5368 6710 7528 9410 10351 13420 18820 20702 26840 37640 41404 51755 57401 82808 103510 114802 207020 229604 287005 414040 459208 574010 631411 1148020 1262822 2296040 2525644 3157055 5051288 6314110 12628220 25256440