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27779013 = 3229106433
BaseRepresentation
bin110100111110…
…1111111000101
31221021022122100
41221331333011
524102412023
62431222313
7455055243
oct151757705
957238570
1027779013
1114753869
129377999
1359a80b2
143991793
15268ac43
hex1a7dfc5

27779013 has 12 divisors (see below), whose sum is σ = 41509260. Its totient is φ = 17880576.

The previous prime is 27778991. The next prime is 27779023. The reversal of 27779013 is 31097772.

It can be written as a sum of positive squares in 2 ways, for example, as 17164449 + 10614564 = 4143^2 + 3258^2 .

It is not a de Polignac number, because 27779013 - 28 = 27778757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27779023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52956 + ... + 53477.

It is an arithmetic number, because the mean of its divisors is an integer number (3459105).

Almost surely, 227779013 is an apocalyptic number.

It is an amenable number.

27779013 is a deficient number, since it is larger than the sum of its proper divisors (13730247).

27779013 is a wasteful number, since it uses less digits than its factorization.

27779013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106468 (or 106465 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 27779013 is about 5270.5799491138. The cubic root of 27779013 is about 302.8579211676.

The spelling of 27779013 in words is "twenty-seven million, seven hundred seventy-nine thousand, thirteen".

Divisors: 1 3 9 29 87 261 106433 319299 957897 3086557 9259671 27779013