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25380432 = 24337211109
BaseRepresentation
bin110000011010…
…0011001010000
31202202110102000
41200310121100
522444133212
62303554000
7425505300
oct140643120
952673360
1025380432
1113365770
1285bb900
13534840c
143529600
1523651dc
hex1834650

25380432 has 240 divisors, whose sum is σ = 93297600. Its totient is φ = 6531840.

The previous prime is 25380403. The next prime is 25380437. The reversal of 25380432 is 23408352.

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

It is a junction number, because it is equal to n+sod(n) for n = 25380396 and 25380405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25380437) 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, 232794 + ... + 232902.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 225380432 is an apocalyptic number.

25380432 is a gapful number since it is divisible by the number (22) 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 25380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

25380432 is an abundant number, since it is smaller than the sum of its proper divisors (67917168).

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

25380432 is a wasteful number, since it uses less digits than its factorization.

25380432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25380432 is about 5037.8995623176. The cubic root of 25380432 is about 293.8774999858.

Adding to 25380432 its reverse (23408352), we get a palindrome (48788784).

The spelling of 25380432 in words is "twenty-five million, three hundred eighty thousand, four hundred thirty-two".