Search a number
-
+
25683138 = 23213412677
BaseRepresentation
bin110000111111…
…0010011000010
31210022211122100
41201332103002
523033330023
62314251230
7431205645
oct141762302
953284570
1025683138
1113552138
128726b16
135423130
1435a7a5c
1523c4c43
hex187e4c2

25683138 has 48 divisors (see below), whose sum is σ = 61411896. Its totient is φ = 7706880.

The previous prime is 25683127. The next prime is 25683149. The reversal of 25683138 is 83138652.

It is an interprime number because it is at equal distance from previous prime (25683127) and next prime (25683149).

It can be written as a sum of positive squares in 4 ways, for example, as 3470769 + 22212369 = 1863^2 + 4713^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8256 + ... + 10932.

Almost surely, 225683138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25683138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705948).

25683138 is an abundant number, since it is smaller than the sum of its proper divisors (35728758).

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

25683138 is a wasteful number, since it uses less digits than its factorization.

25683138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2736 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 25683138 is about 5067.8533917232. The cubic root of 25683138 is about 295.0412199416.

The spelling of 25683138 in words is "twenty-five million, six hundred eighty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 2677 3198 4797 5354 8031 9594 16062 24093 34801 48186 69602 104403 109757 208806 219514 313209 329271 626418 658542 987813 1426841 1975626 2853682 4280523 8561046 12841569 25683138