Search a number
-
+
27642938 = 2412771217
BaseRepresentation
bin110100101110…
…0110000111010
31221000101222112
41221130300322
524034033223
62424252322
7453650441
oct151346072
957011875
1027642938
1114670604
1293110a2
13595b18b
143957d58
152660778
hex1a5cc3a

27642938 has 16 divisors (see below), whose sum is σ = 42664104. Its totient is φ = 13424640.

The previous prime is 27642931. The next prime is 27642971. The reversal of 27642938 is 83924672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9690769 + 17952169 = 3113^2 + 4237^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 27642895 and 27642904.

It is not an unprimeable number, because it can be changed into a prime (27642931) 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, 22106 + ... + 23322.

Almost surely, 227642938 is an apocalyptic number.

27642938 is a deficient number, since it is larger than the sum of its proper divisors (15021166).

27642938 is a wasteful number, since it uses less digits than its factorization.

27642938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537.

The product of its digits is 145152, while the sum is 41.

The square root of 27642938 is about 5257.6551807816. The cubic root of 27642938 is about 302.3625967965.

The spelling of 27642938 in words is "twenty-seven million, six hundred forty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 41 82 277 554 1217 2434 11357 22714 49897 99794 337109 674218 13821469 27642938