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5835424 = 257109239
BaseRepresentation
bin10110010000101010100000
3101222110200211
4112100222200
52443213144
6325023504
7100412620
oct26205240
911873624
105835424
113326271
121b54b94
13129411a
14abc880
157a4034
hex590aa0

5835424 has 48 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 2467584.

The previous prime is 5835421. The next prime is 5835439. The reversal of 5835424 is 4245385.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5835421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24297 + ... + 24535.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 25835424 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 5835424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5835424 is an abundant number, since it is smaller than the sum of its proper divisors (7470176).

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

5835424 is a wasteful number, since it uses less digits than its factorization.

5835424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 5835424 is about 2415.6622280443. The cubic root of 5835424 is about 180.0352194458.

The spelling of 5835424 in words is "five million, eight hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 239 436 478 763 872 956 1526 1673 1744 1912 3052 3346 3488 3824 6104 6692 7648 12208 13384 24416 26051 26768 52102 53536 104204 182357 208408 364714 416816 729428 833632 1458856 2917712 5835424