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25252416 = 263276263
BaseRepresentation
bin110000001010…
…1001001000000
31202111221210200
41200111021000
522431034131
62301125200
7424433130
oct140251100
952457720
1025252416
1113288572
128559800
135302077
1434d4ac0
15233c2e6
hex1815240

25252416 has 84 divisors (see below), whose sum is σ = 82734912. Its totient is φ = 7213824.

The previous prime is 25252363. The next prime is 25252439. The reversal of 25252416 is 61425252.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 25252416.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 901 + ... + 7163.

Almost surely, 225252416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367456).

25252416 is an abundant number, since it is smaller than the sum of its proper divisors (57482496).

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

25252416 is a wasteful number, since it uses less digits than its factorization.

25252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6275 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 25252416 is about 5025.1782057953. The cubic root of 25252416 is about 293.3825720833.

Adding to 25252416 its reverse (61425252), we get a palindrome (86677668).

The spelling of 25252416 in words is "twenty-five million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 6263 12526 18789 25052 37578 43841 50104 56367 75156 87682 100208 112734 131523 150312 175364 200416 225468 263046 300624 350728 394569 400832 450936 526092 601248 701456 789138 901872 1052184 1202496 1402912 1578276 1803744 2104368 2805824 3156552 3607488 4208736 6313104 8417472 12626208 25252416