Search a number
-
+
26314272 = 253291369
BaseRepresentation
bin110010001100…
…0011000100000
31211111220101200
41210120120200
523214024042
62340001200
7436444665
oct144303040
954456350
1026314272
1113943336
128990200
1355b449a
1436cda6c
15249bc4c
hex1918620

26314272 has 36 divisors (see below), whose sum is σ = 74832030. Its totient is φ = 8771328.

The previous prime is 26314243. The next prime is 26314279. The reversal of 26314272 is 27241362.

26314272 is a `hidden beast` number, since 2 + 631 + 4 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16353936 + 9960336 = 4044^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (26314279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45397 + ... + 45972.

Almost surely, 226314272 is an apocalyptic number.

It is an amenable number.

26314272 is an abundant number, since it is smaller than the sum of its proper divisors (48517758).

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

26314272 is a wasteful number, since it uses less digits than its factorization.

26314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91385 (or 91374 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 26314272 is about 5129.7438532543. The cubic root of 26314272 is about 297.4384572460.

It can be divided in two parts, 2631 and 4272, that added together give a triangular number (6903 = T117).

The spelling of 26314272 in words is "twenty-six million, three hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 91369 182738 274107 365476 548214 730952 822321 1096428 1461904 1644642 2192856 2923808 3289284 4385712 6578568 8771424 13157136 26314272