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5302824 = 2331929401
BaseRepresentation
bin10100001110101000101000
3100222102002220
4110032220220
52324142244
6305354040
763034062
oct24165050
910872086
105302824
112aa20aa
121938920
131138887
149c0732
156eb319
hex50ea28

5302824 has 64 divisors (see below), whose sum is σ = 14472000. Its totient is φ = 1612800.

The previous prime is 5302823. The next prime is 5302831. The reversal of 5302824 is 4282035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5302794 and 5302803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13024 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (226125).

Almost surely, 25302824 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 5302824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236000).

5302824 is an abundant number, since it is smaller than the sum of its proper divisors (9169176).

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

5302824 is a wasteful number, since it uses less digits than its factorization.

5302824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5302824 is about 2302.7861385721. The cubic root of 5302824 is about 174.3823011807.

Adding to 5302824 its reverse (4282035), we get a palindrome (9584859).

The spelling of 5302824 in words is "five million, three hundred two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 401 456 551 696 802 1102 1203 1604 1653 2204 2406 3208 3306 4408 4812 6612 7619 9624 11629 13224 15238 22857 23258 30476 34887 45714 46516 60952 69774 91428 93032 139548 182856 220951 279096 441902 662853 883804 1325706 1767608 2651412 5302824