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25258240 = 28572819
BaseRepresentation
bin110000001011…
…0100100000000
31202112020210101
41200112210000
522431230430
62301212144
7424456120
oct140264400
952466711
1025258240
1113291987
128561054
135304907
1434d6c80
15233ddca
hex1816900

25258240 has 72 divisors (see below), whose sum is σ = 69168960. Its totient is φ = 8656896.

The previous prime is 25258229. The next prime is 25258267. The reversal of 25258240 is 4285252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25258199 and 25258208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7551 + ... + 10369.

It is an arithmetic number, because the mean of its divisors is an integer number (960680).

Almost surely, 225258240 is an apocalyptic number.

25258240 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 25258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34584480).

25258240 is an abundant number, since it is smaller than the sum of its proper divisors (43910720).

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

25258240 is an equidigital number, since it uses as much as digits as its factorization.

25258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 25258240 is about 5025.7576543244. The cubic root of 25258240 is about 293.4051247605.

The spelling of 25258240 in words is "twenty-five million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2819 4480 5638 8960 11276 14095 19733 22552 28190 39466 45104 56380 78932 90208 98665 112760 157864 180416 197330 225520 315728 360832 394660 451040 631456 721664 789320 902080 1262912 1578640 1804160 2525824 3157280 3608320 5051648 6314560 12629120 25258240