Search a number
-
+
25950080 = 275133119
BaseRepresentation
bin110001011111…
…1011110000000
31210211101211002
41202333132000
523120400310
62324111132
7433400132
oct142773600
953741732
1025950080
1113714752
1288354a8
1354b77a0
143637052
152428da5
hex18bf780

25950080 has 64 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 9578496.

The previous prime is 25950077. The next prime is 25950083. The reversal of 25950080 is 8005952.

It is an interprime number because it is at equal distance from previous prime (25950077) and next prime (25950083).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25950083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6761 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 225950080 is an apocalyptic number.

25950080 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 25950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

25950080 is an abundant number, since it is smaller than the sum of its proper divisors (40880320).

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

25950080 is a wasteful number, since it uses less digits than its factorization.

25950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 25950080 is about 5094.1221029732. The cubic root of 25950080 is about 296.0598856189.

The spelling of 25950080 in words is "twenty-five million, nine hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 3119 4160 6238 8320 12476 15595 24952 31190 40547 49904 62380 81094 99808 124760 162188 199616 202735 249520 324376 399232 405470 499040 648752 810940 998080 1297504 1621880 1996160 2595008 3243760 5190016 6487520 12975040 25950080