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5726424 = 23311109199
BaseRepresentation
bin10101110110000011011000
3101202221011210
4111312003120
52431221144
6322423120
766450054
oct25660330
911687153
105726424
113261390
121b01aa0
131256622
14a90c64
15781ab9
hex5760d8

5726424 has 64 divisors (see below), whose sum is σ = 15840000. Its totient is φ = 1710720.

The previous prime is 5726411. The next prime is 5726447. The reversal of 5726424 is 4246275.

It is a junction number, because it is equal to n+sod(n) for n = 5726391 and 5726400.

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 15 ways as a sum of consecutive naturals, for example, 28677 + ... + 28875.

It is an arithmetic number, because the mean of its divisors is an integer number (247500).

Almost surely, 25726424 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 5726424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920000).

5726424 is an abundant number, since it is smaller than the sum of its proper divisors (10113576).

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

5726424 is a wasteful number, since it uses less digits than its factorization.

5726424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 5726424 is about 2392.9947764256. The cubic root of 5726424 is about 178.9072061510.

It can be divided in two parts, 572 and 6424, that added together give a palindrome (6996).

The spelling of 5726424 in words is "five million, seven hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 199 218 264 327 398 436 597 654 796 872 1194 1199 1308 1592 2189 2388 2398 2616 3597 4378 4776 4796 6567 7194 8756 9592 13134 14388 17512 21691 26268 28776 43382 52536 65073 86764 130146 173528 238601 260292 477202 520584 715803 954404 1431606 1908808 2863212 5726424