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25325440 = 27575653
BaseRepresentation
bin110000010011…
…0111110000000
31202122122222021
41200212332000
522440403230
62302451224
7425156050
oct140467600
952578867
1025325440
1113328418
128593b14
13532938a
143513560
152353c7a
hex1826f80

25325440 has 64 divisors (see below), whose sum is σ = 69204960. Its totient is φ = 8681472.

The previous prime is 25325437. The next prime is 25325449. The reversal of 25325440 is 4452352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×253254402 = 1282755822387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25325449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 7306.

Almost surely, 225325440 is an apocalyptic number.

25325440 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 25325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34602480).

25325440 is an abundant number, since it is smaller than the sum of its proper divisors (43879520).

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

25325440 is an equidigital number, since it uses as much as digits as its factorization.

25325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 25325440 is about 5032.4387726032. The cubic root of 25325440 is about 293.6650975394.

Adding to 25325440 its reverse (4452352), we get a palindrome (29777792).

The spelling of 25325440 in words is "twenty-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 5653 11306 22612 28265 39571 45224 56530 79142 90448 113060 158284 180896 197855 226120 316568 361792 395710 452240 633136 723584 791420 904480 1266272 1582840 1808960 2532544 3165680 3617920 5065088 6331360 12662720 25325440