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5339628 = 2233721009
BaseRepresentation
bin10100010111100111101100
3101001021121000
4110113213230
52331332003
6310240300
763246300
oct24274754
911037530
105339628
113017818
121956090
13114c558
149cdd00
157071a3
hex5179ec

5339628 has 72 divisors (see below), whose sum is σ = 16119600. Its totient is φ = 1524096.

The previous prime is 5339617. The next prime is 5339629. The reversal of 5339628 is 8269335.

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

It is a d-powerful number, because it can be written as 56 + 312 + 314 + 93 + 65 + 210 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5339592 and 5339601.

It is not an unprimeable number, because it can be changed into a prime (5339629) 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 23 ways as a sum of consecutive naturals, for example, 4788 + ... + 5796.

Almost surely, 25339628 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 5339628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059800).

5339628 is an abundant number, since it is smaller than the sum of its proper divisors (10779972).

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

5339628 is a wasteful number, since it uses less digits than its factorization.

5339628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1021 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5339628 is about 2310.7635101845. The cubic root of 5339628 is about 174.7848021459.

The spelling of 5339628 in words is "five million, three hundred thirty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1009 1323 1764 2018 2646 3027 4036 5292 6054 7063 9081 12108 14126 18162 21189 27243 28252 36324 42378 49441 54486 63567 84756 98882 108972 127134 148323 190701 197764 254268 296646 381402 444969 593292 762804 889938 1334907 1779876 2669814 5339628