Search a number
-
+
5428836 = 2233743167
BaseRepresentation
bin10100101101011001100100
3101012210222000
4110231121210
52342210321
6312205300
764100340
oct24553144
911183860
105428836
113078846
121999830
13118103a
14a14620
15723826
hex52d664

5428836 has 96 divisors (see below), whose sum is σ = 16558080. Its totient is φ = 1505952.

The previous prime is 5428823. The next prime is 5428837. The reversal of 5428836 is 6388245.

5428836 is a `hidden beast` number, since 542 + 88 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5428836.

It is not an unprimeable number, because it can be changed into a prime (5428837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32425 + ... + 32591.

It is an arithmetic number, because the mean of its divisors is an integer number (172480).

Almost surely, 25428836 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 5428836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279040).

5428836 is an abundant number, since it is smaller than the sum of its proper divisors (11129244).

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

5428836 is a wasteful number, since it uses less digits than its factorization.

5428836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5428836 is about 2329.9862660539. The cubic root of 5428836 is about 175.7527951630.

The spelling of 5428836 in words is "five million, four hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 167 172 189 252 258 301 334 378 387 501 516 602 668 756 774 903 1002 1161 1169 1204 1503 1548 1806 2004 2322 2338 2709 3006 3507 3612 4509 4644 4676 5418 6012 7014 7181 8127 9018 10521 10836 14028 14362 16254 18036 21042 21543 28724 31563 32508 42084 43086 50267 63126 64629 86172 100534 126252 129258 150801 193887 201068 258516 301602 387774 452403 603204 775548 904806 1357209 1809612 2714418 5428836