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5623024 = 241143743
BaseRepresentation
bin10101011100110011110000
3101120200100011
4111130303300
52414414044
6320304304
765536441
oct25346360
911520304
105623024
1131a0730
121a72094
13121b544
14a652c8
15761134
hex55ccf0

5623024 has 40 divisors (see below), whose sum is σ = 12177792. Its totient is φ = 2493120.

The previous prime is 5623021. The next prime is 5623043. The reversal of 5623024 is 4203265.

It is a happy number.

It is a super-3 number, since 3×56230243 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5622986 and 5623004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623021) 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, 7197 + ... + 7939.

Almost surely, 25623024 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 5623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088896).

5623024 is an abundant number, since it is smaller than the sum of its proper divisors (6554768).

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

5623024 is a wasteful number, since it uses less digits than its factorization.

5623024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5623024 is about 2371.2916311580. The cubic root of 5623024 is about 177.8238378339.

Adding to 5623024 its reverse (4203265), we get a palindrome (9826289).

The spelling of 5623024 in words is "five million, six hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 743 946 1486 1892 2972 3784 5944 7568 8173 11888 16346 31949 32692 63898 65384 127796 130768 255592 351439 511184 702878 1405756 2811512 5623024