Search a number
-
+
5417958 = 237139923
BaseRepresentation
bin10100101010101111100110
3101012021001010
4110222233212
52341333313
6312043050
764023540
oct24525746
911167033
105417958
113070657
121993486
1311790c0
14a10690
157204c3
hex52abe6

5417958 has 32 divisors (see below), whose sum is σ = 13337856. Its totient is φ = 1428768.

The previous prime is 5417953. The next prime is 5417977. The reversal of 5417958 is 8597145.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417953) 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 15 ways as a sum of consecutive naturals, for example, 4416 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (416808).

Almost surely, 25417958 is an apocalyptic number.

5417958 is an abundant number, since it is smaller than the sum of its proper divisors (7919898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5417958 is a wasteful number, since it uses less digits than its factorization.

5417958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948.

The product of its digits is 50400, while the sum is 39.

The square root of 5417958 is about 2327.6507469979. The cubic root of 5417958 is about 175.6353287746.

The spelling of 5417958 in words is "five million, four hundred seventeen thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 9923 19846 29769 59538 69461 128999 138922 208383 257998 386997 416766 773994 902993 1805986 2708979 5417958