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5364624 = 243731531
BaseRepresentation
bin10100011101101110010000
3101002112212210
4110131232100
52333131444
6310552120
763412206
oct24355620
911075783
105364624
113034581
121968640
13115aa45
149d9076
1570e7b9
hex51db90

5364624 has 40 divisors (see below), whose sum is σ = 14057632. Its totient is φ = 1762560.

The previous prime is 5364613. The next prime is 5364629. The reversal of 5364624 is 4264635.

It is a super-2 number, since 2×53646242 = 57558381322752, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5364591 and 5364600.

It is not an unprimeable number, because it can be changed into a prime (5364629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2739 + ... + 4269.

Almost surely, 25364624 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 5364624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028816).

5364624 is an abundant number, since it is smaller than the sum of its proper divisors (8693008).

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

5364624 is a wasteful number, since it uses less digits than its factorization.

5364624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 5364624 is about 2316.1657971743. The cubic root of 5364624 is about 175.0571133311.

The spelling of 5364624 in words is "five million, three hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1531 1752 3062 3504 4593 6124 9186 12248 18372 24496 36744 73488 111763 223526 335289 447052 670578 894104 1341156 1788208 2682312 5364624