Search a number
-
+
5258701 = 74173251
BaseRepresentation
bin10100000011110111001101
3100220011120201
4110003313031
52321234301
6304413501
762461330
oct24036715
910804521
105258701
112a71a38
121917291
131121776
149ac617
156dd201
hex503dcd

5258701 has 16 divisors (see below), whose sum is σ = 6265728. Its totient is φ = 4320000.

The previous prime is 5258683. The next prime is 5258707. The reversal of 5258701 is 1078525.

5258701 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a 4-Lehmer number, since φ(5258701) divides (5258701-1)4.

It is a cyclic number.

It is not a de Polignac number, because 5258701 - 211 = 5256653 is a prime.

It is an alternating number because its digits alternate between odd and even.

5258701 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5258701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20826 + ... + 21076.

It is an arithmetic number, because the mean of its divisors is an integer number (391608).

It is a Poulet number, since it divides 25258700-1.

Almost surely, 25258701 is an apocalyptic number.

It is an amenable number.

5258701 is a deficient number, since it is larger than the sum of its proper divisors (1007027).

5258701 is a wasteful number, since it uses less digits than its factorization.

5258701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 5258701 is about 2293.1857752917. The cubic root of 5258701 is about 173.8972948303.

The spelling of 5258701 in words is "five million, two hundred fifty-eight thousand, seven hundred one".

Divisors: 1 7 41 73 251 287 511 1757 2993 10291 18323 20951 72037 128261 751243 5258701