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27037242 = 23217149593
BaseRepresentation
bin110011100100…
…0111000111010
31212212122010100
41213020320322
523410142432
62403300230
7445545531
oct147107072
955778110
1027037242
1114297531
12907a676
1357a858b
14383b318
15259107c
hex19c8e3a

27037242 has 48 divisors (see below), whose sum is σ = 62548200. Its totient is φ = 8411136.

The previous prime is 27037207. The next prime is 27037249. The reversal of 27037242 is 24273072.

It can be written as a sum of positive squares in 4 ways, for example, as 22838841 + 4198401 = 4779^2 + 2049^2 .

It is not an unprimeable number, because it can be changed into a prime (27037249) 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 23 ways as a sum of consecutive naturals, for example, 45298 + ... + 45890.

Almost surely, 227037242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27037242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31274100).

27037242 is an abundant number, since it is smaller than the sum of its proper divisors (35510958).

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

27037242 is a wasteful number, since it uses less digits than its factorization.

27037242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 27037242 is about 5199.7348009298. The cubic root of 27037242 is about 300.1378699632.

The spelling of 27037242 in words is "twenty-seven million, thirty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 447 593 894 1186 1341 1779 2533 2682 3558 5066 5337 7599 10081 10674 15198 20162 22797 30243 45594 60486 88357 90729 176714 181458 265071 530142 795213 1502069 1590426 3004138 4506207 9012414 13518621 27037242