Search a number
-
+
25642116 = 22332331019
BaseRepresentation
bin110000111010…
…0010010000100
31210020202101000
41201310102010
523031021431
62313333300
7430645233
oct141642204
953222330
1025642116
1113524335
128707230
13540a566
143596b1a
1523b79e6
hex1874484

25642116 has 48 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 8502336.

The previous prime is 25642109. The next prime is 25642117. The reversal of 25642116 is 61124652.

25642116 is a `hidden beast` number, since 2 + 5 + 642 + 1 + 16 = 666.

It is a super-2 number, since 2×256421162 = 1315036225914912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25642116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25642117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24655 + ... + 25673.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 225642116 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 25642116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

25642116 is an abundant number, since it is smaller than the sum of its proper divisors (41188284).

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

25642116 is a wasteful number, since it uses less digits than its factorization.

25642116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 25642116 is about 5063.8044985959. The cubic root of 25642116 is about 294.8840528731.

Adding to 25642116 its reverse (61124652), we get a palindrome (86766768).

The spelling of 25642116 in words is "twenty-five million, six hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1019 1398 2038 2097 2796 3057 4076 4194 6114 6291 8388 9171 12228 12582 18342 25164 27513 36684 55026 110052 237427 474854 712281 949708 1424562 2136843 2849124 4273686 6410529 8547372 12821058 25642116