Search a number
-
+
25164126 = 23213313469
BaseRepresentation
bin101111111111…
…1100101011110
31202100110200200
41133333211132
522420223001
62255204330
7423614541
oct137774536
952313620
1025164126
11132281a9
1285166a6
1352a0b20
1434b0858
152321086
hex17ff95e

25164126 has 48 divisors (see below), whose sum is σ = 60627840. Its totient is φ = 7490880.

The previous prime is 25164101. The next prime is 25164133. The reversal of 25164126 is 62146152.

It is a self number, because there is not a number n which added to its sum of digits gives 25164126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5520 + ... + 8988.

It is an arithmetic number, because the mean of its divisors is an integer number (1263080).

Almost surely, 225164126 is an apocalyptic number.

25164126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25164126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30313920).

25164126 is an abundant number, since it is smaller than the sum of its proper divisors (35463714).

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

25164126 is a wasteful number, since it uses less digits than its factorization.

25164126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3518 counting only the distinct ones).

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

The square root of 25164126 is about 5016.3857507173. The cubic root of 25164126 is about 293.0402550818.

The spelling of 25164126 in words is "twenty-five million, one hundred sixty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3469 3627 6938 7254 10407 20814 31221 45097 62442 90194 107539 135291 215078 270582 322617 405873 645234 811746 967851 1398007 1935702 2796014 4194021 8388042 12582063 25164126