Search a number
-
+
26163225 = 3252112312
BaseRepresentation
bin110001111001…
…1100000011001
31211020020012100
41203303200121
523144210400
62332434013
7435245424
oct143634031
954206170
1026163225
111384a900
128918909
1355607ca
1436909bb
15246c100
hex18f3819

26163225 has 81 divisors (see below), whose sum is σ = 53223807. Its totient is φ = 12276000.

The previous prime is 26163223. The next prime is 26163239. The reversal of 26163225 is 52236162.

The square root of 26163225 is 5115.

It is a perfect power (a square), and thus also a powerful number.

26163225 is a `hidden beast` number, since 2 + 6 + 1 + 632 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9418761 + 16744464 = 3069^2 + 4092^2 .

It is not a de Polignac number, because 26163225 - 21 = 26163223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26163223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 843960 + ... + 843990.

Almost surely, 226163225 is an apocalyptic number.

26163225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26163225 is the 5115-th square number.

26163225 is the 2558-th centered octagonal number.

It is an amenable number.

26163225 is an abundant number, since it is smaller than the sum of its proper divisors (27060582).

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

26163225 is a wasteful number, since it uses less digits than its factorization.

26163225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The cubic root of 26163225 is about 296.8682543250.

Adding to 26163225 its reverse (52236162), we get a palindrome (78399387).

The spelling of 26163225 in words is "twenty-six million, one hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 121 155 165 225 275 279 341 363 465 495 605 775 825 961 1023 1089 1395 1705 1815 2325 2475 2883 3025 3069 3751 4805 5115 5445 6975 8525 8649 9075 10571 11253 14415 15345 18755 24025 25575 27225 31713 33759 43245 52855 56265 72075 76725 93775 95139 116281 158565 168795 216225 264275 281325 348843 475695 581405 792825 843975 1046529 1744215 2378475 2907025 5232645 8721075 26163225