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25248960 = 2632511797
BaseRepresentation
bin110000001010…
…0010011000000
31202111210001200
41200110103000
522430431320
62301101200
7424420062
oct140242300
952453050
1025248960
1113285a10
128557800
135300619
1434d3732
15233b290
hex18144c0

25248960 has 168 divisors, whose sum is σ = 94859856. Its totient is φ = 6113280.

The previous prime is 25248947. The next prime is 25249027. The reversal of 25248960 is 6984252.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 31282 + ... + 32078.

It is an arithmetic number, because the mean of its divisors is an integer number (564642).

Almost surely, 225248960 is an apocalyptic number.

25248960 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 25248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).

25248960 is an abundant number, since it is smaller than the sum of its proper divisors (69610896).

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

25248960 is a wasteful number, since it uses less digits than its factorization.

25248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 25248960 is about 5024.8343256271. The cubic root of 25248960 is about 293.3691875365.

The spelling of 25248960 in words is "twenty-five million, two hundred forty-eight thousand, nine hundred sixty".