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5293824 = 28361113
BaseRepresentation
bin10100001100011100000000
3100221221202120
4110030130000
52323400244
6305244240
762665614
oct24143400
910857676
105293824
112a96368
121933680
131134753
149bb344
156e8819
hex50c700

5293824 has 72 divisors (see below), whose sum is σ = 14446992. Its totient is φ = 1720320.

The previous prime is 5293811. The next prime is 5293829. The reversal of 5293824 is 4283925.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5293829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46792 + ... + 46904.

Almost surely, 25293824 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 5293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223496).

5293824 is an abundant number, since it is smaller than the sum of its proper divisors (9153168).

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

5293824 is a wasteful number, since it uses less digits than its factorization.

5293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5293824 is about 2300.8311541702. The cubic root of 5293824 is about 174.2835909187.

The spelling of 5293824 in words is "five million, two hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 113 122 128 183 192 226 244 256 339 366 384 452 488 678 732 768 904 976 1356 1464 1808 1952 2712 2928 3616 3904 5424 5856 6893 7232 7808 10848 11712 13786 14464 15616 20679 21696 23424 27572 28928 41358 43392 46848 55144 82716 86784 110288 165432 220576 330864 441152 661728 882304 1323456 1764608 2646912 5293824