Search a number
-
+
25289172 = 223489877
BaseRepresentation
bin110000001111…
…0000111010100
31202120211020000
41200132013110
522433223142
62302011300
7424645236
oct140360724
952524200
1025289172
1113303147
128576b30
135315a0c
143504256
15234814c
hex181e1d4

25289172 has 60 divisors (see below), whose sum is σ = 66929940. Its totient is φ = 8325504.

The previous prime is 25289153. The next prime is 25289179. The reversal of 25289172 is 27198252.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 12068676 = 3636^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25289179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28398 + ... + 29274.

It is an arithmetic number, because the mean of its divisors is an integer number (1115499).

Almost surely, 225289172 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 25289172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33464970).

25289172 is an abundant number, since it is smaller than the sum of its proper divisors (41640768).

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

25289172 is a wasteful number, since it uses less digits than its factorization.

25289172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 25289172 is about 5028.8340597001. The cubic root of 25289172 is about 293.5248468140.

The spelling of 25289172 in words is "twenty-five million, two hundred eighty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 877 1068 1602 1754 2403 2631 3204 3508 4806 5262 7209 7893 9612 10524 14418 15786 23679 28836 31572 47358 71037 78053 94716 142074 156106 234159 284148 312212 468318 702477 936636 1404954 2107431 2809908 4214862 6322293 8429724 12644586 25289172