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25116616 = 2372173769
BaseRepresentation
bin101111111001…
…1111111001000
31202021001112001
41133303333020
522412212431
62254200344
7423326200
oct137637710
952231461
1025116616
11131a5538
1284b30b4
135285305
14349b400
152311e61
hex17f3fc8

25116616 has 48 divisors (see below), whose sum is σ = 58020300. Its totient is φ = 10128384.

The previous prime is 25116607. The next prime is 25116617. The reversal of 25116616 is 61661152.

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 2592100 = 4746^2 + 1610^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25116617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4780 + ... + 8548.

Almost surely, 225116616 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 25116616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29010150).

25116616 is an abundant number, since it is smaller than the sum of its proper divisors (32903684).

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

25116616 is a wasteful number, since it uses less digits than its factorization.

25116616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3795 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 25116616 is about 5011.6480323343. The cubic root of 25116616 is about 292.8557183920.

Adding to 25116616 its reverse (61661152), we get a palindrome (86777768).

The spelling of 25116616 in words is "twenty-five million, one hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 3769 6664 7538 15076 26383 30152 52766 64073 105532 128146 184681 211064 256292 369362 448511 512584 738724 897022 1477448 1794044 3139577 3588088 6279154 12558308 25116616