Search a number
-
+
27742311 = 331027493
BaseRepresentation
bin110100111010…
…1000001100111
31221012110022000
41221311001213
524100223221
62430340343
7454543242
oct151650147
957173260
1027742311
1114729233
12935a6b3
13599448c
143982259
15267ee26
hex1a75067

27742311 has 8 divisors (see below), whose sum is σ = 41099760. Its totient is φ = 18494856.

The previous prime is 27742259. The next prime is 27742343. The reversal of 27742311 is 11324772.

It is a happy number.

It is not a de Polignac number, because 27742311 - 29 = 27741799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1027493 = 27742311 / (2 + 7 + 7 + 4 + 2 + 3 + 1 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27742811) 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, 513720 + ... + 513773.

It is an arithmetic number, because the mean of its divisors is an integer number (5137470).

Almost surely, 227742311 is an apocalyptic number.

27742311 is a deficient number, since it is larger than the sum of its proper divisors (13357449).

27742311 is a wasteful number, since it uses less digits than its factorization.

27742311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027502 (or 1027496 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27742311 is about 5267.0970182825. The cubic root of 27742311 is about 302.7244824174.

The spelling of 27742311 in words is "twenty-seven million, seven hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 9 27 1027493 3082479 9247437 27742311