Search a number
-
+
37242361 = 132220369
BaseRepresentation
bin1000111000010…
…0010111111001
32121002002220201
42032010113321
534013223421
63410122201
7631361212
oct216042771
977062821
1037242361
111a027812
1210580361
13793c600
144d36409
153409b91
hex23845f9

37242361 has 6 divisors (see below), whose sum is σ = 40327710. Its totient is φ = 34377408.

The previous prime is 37242353. The next prime is 37242397. The reversal of 37242361 is 16324273.

37242361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 409600 + 36832761 = 640^2 + 6069^2 .

It is not a de Polignac number, because 37242361 - 23 = 37242353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37242311) 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 5 ways as a sum of consecutive naturals, for example, 110016 + ... + 110353.

It is an arithmetic number, because the mean of its divisors is an integer number (6721285).

Almost surely, 237242361 is an apocalyptic number.

It is an amenable number.

37242361 is a deficient number, since it is larger than the sum of its proper divisors (3085349).

37242361 is a wasteful number, since it uses less digits than its factorization.

37242361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220395 (or 220382 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 37242361 is about 6102.6519645151. The cubic root of 37242361 is about 333.9481704509.

The spelling of 37242361 in words is "thirty-seven million, two hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 13 169 220369 2864797 37242361