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5334768 = 243353233
BaseRepresentation
bin10100010110011011110000
3101001000221000
4110112123300
52331203033
6310202000
763226155
oct24263360
911030830
105334768
1130140aa
121953300
13114a28a
149cc22c
15705a13
hex5166f0

5334768 has 80 divisors (see below), whose sum is σ = 15668640. Its totient is φ = 1737216.

The previous prime is 5334761. The next prime is 5334773. The reversal of 5334768 is 8674335.

It is a happy number.

It is a super-2 number, since 2×53347682 = 56919499227648, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334761) 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 15 ways as a sum of consecutive naturals, for example, 22780 + ... + 23012.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 25334768 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 5334768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834320).

5334768 is an abundant number, since it is smaller than the sum of its proper divisors (10333872).

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

5334768 is a wasteful number, since it uses less digits than its factorization.

5334768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5334768 is about 2309.7116703173. The cubic root of 5334768 is about 174.7317577524.

The spelling of 5334768 in words is "five million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 233 318 424 432 466 477 636 699 848 932 954 1272 1398 1431 1864 1908 2097 2544 2796 2862 3728 3816 4194 5592 5724 6291 7632 8388 11184 11448 12349 12582 16776 22896 24698 25164 33552 37047 49396 50328 74094 98792 100656 111141 148188 197584 222282 296376 333423 444564 592752 666846 889128 1333692 1778256 2667384 5334768