Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
5037 = 32373
BaseRepresentation
bin1001110101101
320220120
41032231
5130122
635153
720454
oct11655
96816
105037
11386a
122ab9
1323a6
141b9b
15175c
hex13ad

5037 has 8 divisors (see below), whose sum is σ = 7104. Its totient is φ = 3168.

The previous prime is 5023. The next prime is 5039. The reversal of 5037 is 7305.

5037 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 5037 - 24 = 5021 is a prime.

It is an Ulam number.

5037 is a modest number, since divided by 37 gives 5 as remainder.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5037.

It is not an unprimeable number, because it can be changed into a prime (5039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (888).

25037 is an apocalyptic number.

It is an amenable number.

5037 is a deficient number, since it is larger than the sum of its proper divisors (2067).

5037 is a wasteful number, since it uses less digits than its factorization.

5037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 5037 is about 70.9718253957. The cubic root of 5037 is about 17.1418352565.

The spelling of 5037 in words is "five thousand, thirty-seven".

Divisors: 1 3 23 69 73 219 1679 5037