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25423200 = 25335211107
BaseRepresentation
bin110000011111…
…0110101100000
31202211122002000
41200332311200
523002020300
62304524000
7426044055
oct140766540
952748060
1025423200
1113394910
128620600
135361a1a
14353b02c
152372c00
hex183ed60

25423200 has 288 divisors, whose sum is σ = 101243520. Its totient is φ = 6105600.

The previous prime is 25423187. The next prime is 25423207. The reversal of 25423200 is 232452.

It is a tau number, because it is divible by the number of its divisors (288).

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 (25423207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237547 + ... + 237653.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 225423200 is an apocalyptic number.

25423200 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 25423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

25423200 is an abundant number, since it is smaller than the sum of its proper divisors (75820320).

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

25423200 is a wasteful number, since it uses less digits than its factorization.

25423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25423200 is about 5042.1424017971. The cubic root of 25423200 is about 294.0424761619.

Adding to 25423200 its reverse (232452), we get a palindrome (25655652).

The spelling of 25423200 in words is "twenty-five million, four hundred twenty-three thousand, two hundred".