Search a number
-
+
5800417 = 71779617
BaseRepresentation
bin10110001000000111100001
3101220200200021
4112020013201
52441103132
6324153441
7100205560
oct26100741
911820607
105800417
113301a37
121b38881
1312811cc
14aadbd7
15798997
hex5881e1

5800417 has 16 divisors (see below), whose sum is σ = 7119360. Its totient is φ = 4612608.

The previous prime is 5800387. The next prime is 5800433. The reversal of 5800417 is 7140085.

It is not a de Polignac number, because 5800417 - 215 = 5767649 is a prime.

It is a super-3 number, since 3×58004173 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5800391 and 5800400.

It is not an unprimeable number, because it can be changed into a prime (5800477) 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, 9093 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (444960).

Almost surely, 25800417 is an apocalyptic number.

It is an amenable number.

5800417 is a deficient number, since it is larger than the sum of its proper divisors (1318943).

5800417 is a wasteful number, since it uses less digits than its factorization.

5800417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 5800417 is about 2408.4054891152. The cubic root of 5800417 is about 179.6744836999.

The spelling of 5800417 in words is "five million, eight hundred thousand, four hundred seventeen".

Divisors: 1 7 17 79 119 553 617 1343 4319 9401 10489 48743 73423 341201 828631 5800417