Search a number
-
+
25922880 = 263259001
BaseRepresentation
bin110001011100…
…0110101000000
31210210000111200
41202320311000
523114013010
62323341200
7433224624
oct142706500
953700450
1025922880
11136a6275
128821800
1354a82a9
14362b184
152420cc0
hex18b8d40

25922880 has 84 divisors (see below), whose sum is σ = 89173812. Its totient is φ = 6912000.

The previous prime is 25922873. The next prime is 25922887. The reversal of 25922880 is 8822952.

It is an interprime number because it is at equal distance from previous prime (25922873) and next prime (25922887).

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 19079424 = 2616^2 + 4368^2 .

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 (25922887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621 + ... + 7380.

It is an arithmetic number, because the mean of its divisors is an integer number (1061593).

Almost surely, 225922880 is an apocalyptic number.

25922880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44586906).

25922880 is an abundant number, since it is smaller than the sum of its proper divisors (63250932).

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

25922880 is a wasteful number, since it uses less digits than its factorization.

25922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25922880 is about 5091.4516593993. The cubic root of 25922880 is about 295.9564094563.

The spelling of 25922880 in words is "twenty-five million, nine hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 9001 18002 27003 36004 45005 54006 72008 81009 90010 108012 135015 144016 162018 180020 216024 270030 288032 324036 360040 405045 432048 540060 576064 648072 720080 810090 864096 1080120 1296144 1440160 1620180 1728192 2160240 2592288 2880320 3240360 4320480 5184576 6480720 8640960 12961440 25922880