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25243920 = 24335132931
BaseRepresentation
bin110000001001…
…1000100010000
31202111112011000
41200103010100
522430301140
62301022000
7424366302
oct140230420
952445130
1025243920
1113282149
128554900
1352cb240
1434d1972
152339a30
hex1813110

25243920 has 320 divisors, whose sum is σ = 99993600. Its totient is φ = 5806080.

The previous prime is 25243853. The next prime is 25243927. The reversal of 25243920 is 2934252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25243927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 814305 + ... + 814335.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 225243920 is an apocalyptic number.

25243920 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 25243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

25243920 is an abundant number, since it is smaller than the sum of its proper divisors (74749680).

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

25243920 is a wasteful number, since it uses less digits than its factorization.

25243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25243920 is about 5024.3327915257. The cubic root of 25243920 is about 293.3496662164.

The spelling of 25243920 in words is "twenty-five million, two hundred forty-three thousand, nine hundred twenty".