Search a number
-
+
5356044 = 223461271
BaseRepresentation
bin10100011011101000001100
3101002010010000
4110123220030
52332343134
6310444300
763345201
oct24335014
911063100
105356044
113029091
121963690
131156b75
149d5ca8
1570be99
hex51ba0c

5356044 has 60 divisors (see below), whose sum is σ = 14283808. Its totient is φ = 1749600.

The previous prime is 5356019. The next prime is 5356051. The reversal of 5356044 is 4406535.

5356044 is a `hidden beast` number, since 53 + 5 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5355999 and 5356017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19629 + ... + 19899.

Almost surely, 25356044 is an apocalyptic number.

5356044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5356044 is the 1464-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5356044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141904).

5356044 is an abundant number, since it is smaller than the sum of its proper divisors (8927764).

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

5356044 is a wasteful number, since it uses less digits than its factorization.

5356044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5356044 is about 2314.3128569837. The cubic root of 5356044 is about 174.9637367038.

The spelling of 5356044 in words is "five million, three hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 271 324 366 542 549 732 813 1084 1098 1626 1647 2196 2439 3252 3294 4878 4941 6588 7317 9756 9882 14634 16531 19764 21951 29268 33062 43902 49593 66124 87804 99186 148779 198372 297558 446337 595116 892674 1339011 1785348 2678022 5356044