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25413300 = 2232521117151
BaseRepresentation
bin110000011110…
…0011010110100
31202211010111100
41200330122310
523001211200
62304410100
7426003153
oct140743264
952733440
1025413300
1113388430
128616930
13535a373
14353759a
15236ed00
hex183c6b4

25413300 has 216 divisors, whose sum is σ = 92619072. Its totient is φ = 5760000.

The previous prime is 25413299. The next prime is 25413307. The reversal of 25413300 is 331452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25413307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168225 + ... + 168375.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 225413300 is an apocalyptic number.

25413300 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 25413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

25413300 is an abundant number, since it is smaller than the sum of its proper divisors (67205772).

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

25413300 is a wasteful number, since it uses less digits than its factorization.

25413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 25413300 is about 5041.1605806600. The cubic root of 25413300 is about 294.0043036993.

Adding to 25413300 its reverse (331452), we get a palindrome (25744752).

The spelling of 25413300 in words is "twenty-five million, four hundred thirteen thousand, three hundred".