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5666624 = 26372393
BaseRepresentation
bin10101100111011101000000
3101122220010222
4111213131000
52422312444
6321242212
766110525
oct25473500
911586128
105666624
113220467
121a93368
131235342
14a7714c
1576deee
hex567740

5666624 has 28 divisors (see below), whose sum is σ = 11553444. Its totient is φ = 2755584.

The previous prime is 5666623. The next prime is 5666641. The reversal of 5666624 is 4266665.

It can be written as a sum of positive squares in 2 ways, for example, as 2310400 + 3356224 = 1520^2 + 1832^2 .

It is a super-2 number, since 2×56666242 = 64221255114752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666621) 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 3 ways as a sum of consecutive naturals, for example, 1172 + ... + 3564.

It is an arithmetic number, because the mean of its divisors is an integer number (412623).

Almost surely, 25666624 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 5666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776722).

5666624 is an abundant number, since it is smaller than the sum of its proper divisors (5886820).

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

5666624 is a wasteful number, since it uses less digits than its factorization.

5666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2432 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 5666624 is about 2380.4671810382. The cubic root of 5666624 is about 178.2822605855.

The spelling of 5666624 in words is "five million, six hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 2393 4786 9572 19144 38288 76576 88541 153152 177082 354164 708328 1416656 2833312 5666624