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5245824 = 27319719
BaseRepresentation
bin10100000000101110000000
3100212111220210
4110000232000
52320331244
6304234120
762405643
oct24005600
910774823
105245824
112a632a1
12190b940
13111894c
149a7a5a
156d94b9
hex500b80

5245824 has 64 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1654272.

The previous prime is 5245813. The next prime is 5245831. The reversal of 5245824 is 4285425.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5245791 and 5245800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 25245824 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 5245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5245824 is an abundant number, since it is smaller than the sum of its proper divisors (9442176).

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

5245824 is a wasteful number, since it uses less digits than its factorization.

5245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 5245824 is about 2290.3763882821. The cubic root of 5245824 is about 173.7552378388.

The spelling of 5245824 in words is "five million, two hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 719 912 1216 1438 1824 2157 2432 2876 3648 4314 5752 7296 8628 11504 13661 17256 23008 27322 34512 40983 46016 54644 69024 81966 92032 109288 138048 163932 218576 276096 327864 437152 655728 874304 1311456 1748608 2622912 5245824