Search a number
-
+
37382081 = 116155711
BaseRepresentation
bin1000111010011…
…0011111000001
32121100012120112
42032212133001
534032211311
63413121105
7632512442
oct216463701
977305515
1037382081
111a112790
1210629195
13798b099
144d712c9
15343628b
hex23a67c1

37382081 has 8 divisors (see below), whose sum is σ = 41449728. Its totient is φ = 33426000.

The previous prime is 37382077. The next prime is 37382083. The reversal of 37382081 is 18028373.

37382081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37382081 - 22 = 37382077 is a prime.

It is a super-2 number, since 2×373820812 = 2794839959781122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37382083) 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, 27185 + ... + 28526.

It is an arithmetic number, because the mean of its divisors is an integer number (5181216).

Almost surely, 237382081 is an apocalyptic number.

It is an amenable number.

37382081 is a deficient number, since it is larger than the sum of its proper divisors (4067647).

37382081 is a wasteful number, since it uses less digits than its factorization.

37382081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55783.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 37382081 is about 6114.0887301380. The cubic root of 37382081 is about 334.3652672626.

The spelling of 37382081 in words is "thirty-seven million, three hundred eighty-two thousand, eighty-one".

Divisors: 1 11 61 671 55711 612821 3398371 37382081