Search a number
-
+
5417928 = 2336929
BaseRepresentation
bin10100101010101111001000
3101012021000000
4110222233020
52341333203
6312043000
764023465
oct24525710
911167000
105417928
11307062a
121993460
131179099
14a1066c
157204a3
hex52abc8

5417928 has 56 divisors (see below), whose sum is σ = 15247350. Its totient is φ = 1804032.

The previous prime is 5417897. The next prime is 5417933. The reversal of 5417928 is 8297145.

It can be written as a sum of positive squares in only one way, i.e., 5391684 + 26244 = 2322^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5417892 and 5417901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5368 + ... + 6296.

Almost surely, 25417928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5417928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623675).

5417928 is an abundant number, since it is smaller than the sum of its proper divisors (9829422).

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

5417928 is an equidigital number, since it uses as much as digits as its factorization.

5417928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5417928 is about 2327.6443027232. The cubic root of 5417928 is about 175.6350046014.

The spelling of 5417928 in words is "five million, four hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 929 972 1458 1858 1944 2787 2916 3716 5574 5832 7432 8361 11148 16722 22296 25083 33444 50166 66888 75249 100332 150498 200664 225747 300996 451494 601992 677241 902988 1354482 1805976 2708964 5417928