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27485129 = 724113681
BaseRepresentation
bin110100011011…
…0001111001001
31220201101111202
41220312033021
524014011004
62421033545
7452422400
oct150661711
956641452
1027485129
1114572a91
1292558b5
1359043b9
143916637
15262db1e
hex1a363c9

27485129 has 12 divisors (see below), whose sum is σ = 32754708. Its totient is φ = 22982400.

The previous prime is 27485123. The next prime is 27485131. The reversal of 27485129 is 92158472.

It can be written as a sum of positive squares in 2 ways, for example, as 13249600 + 14235529 = 3640^2 + 3773^2 .

It is a de Polignac number, because none of the positive numbers 2k-27485129 is a prime.

It is a super-2 number, since 2×274851292 = 1510864632293282, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27485092 and 27485101.

It is not an unprimeable number, because it can be changed into a prime (27485123) 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 11 ways as a sum of consecutive naturals, for example, 4832 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (2729559).

Almost surely, 227485129 is an apocalyptic number.

It is an amenable number.

27485129 is a deficient number, since it is larger than the sum of its proper divisors (5269579).

27485129 is a wasteful number, since it uses less digits than its factorization.

27485129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13729 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 27485129 is about 5242.6261548960. The cubic root of 27485129 is about 301.7861189009.

The spelling of 27485129 in words is "twenty-seven million, four hundred eighty-five thousand, one hundred twenty-nine".

Divisors: 1 7 41 49 287 2009 13681 95767 560921 670369 3926447 27485129