Search a number
-
+
27914292 = 22327110771
BaseRepresentation
bin110101001111…
…1000000110100
31221112012012200
41222133000310
524121224132
62434144500
7456160530
oct152370064
957465180
1027914292
111483646a
129422130
135a24843
1439c8bc0
1526b5d7c
hex1a9f034

27914292 has 36 divisors (see below), whose sum is σ = 80642016. Its totient is φ = 7975440.

The previous prime is 27914281. The next prime is 27914297. The reversal of 27914292 is 29241972.

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

It is a super-2 number, since 2×279142922 = 1558415395722528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27914297) 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, 55134 + ... + 55637.

It is an arithmetic number, because the mean of its divisors is an integer number (2240056).

Almost surely, 227914292 is an apocalyptic number.

It is an amenable number.

27914292 is an abundant number, since it is smaller than the sum of its proper divisors (52727724).

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

27914292 is a wasteful number, since it uses less digits than its factorization.

27914292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110788 (or 110783 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27914292 is about 5283.3977703747. The cubic root of 27914292 is about 303.3487472209.

The spelling of 27914292 in words is "twenty-seven million, nine hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 110771 221542 332313 443084 664626 775397 996939 1329252 1550794 1993878 2326191 3101588 3987756 4652382 6978573 9304764 13957146 27914292