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5631824 = 241122909
BaseRepresentation
bin10101011110111101010000
3101121010102002
4111132331100
52420204244
6320413132
765604212
oct25367520
911533362
105631824
1131a7300
121a771a8
131222553
14a685b2
15763a4e
hex55ef50

5631824 has 30 divisors (see below), whose sum is σ = 11997930. Its totient is φ = 2559040.

The previous prime is 5631823. The next prime is 5631841. The reversal of 5631824 is 4281365.

It can be written as a sum of positive squares in only one way, i.e., 5438224 + 193600 = 2332^2 + 440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5631823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 482 + ... + 3390.

It is an arithmetic number, because the mean of its divisors is an integer number (399931).

Almost surely, 25631824 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 5631824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998965).

5631824 is an abundant number, since it is smaller than the sum of its proper divisors (6366106).

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

5631824 is a wasteful number, since it uses less digits than its factorization.

5631824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2922 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 5631824 is about 2373.1464345885. The cubic root of 5631824 is about 177.9165539095.

The spelling of 5631824 in words is "five million, six hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2909 5818 11636 23272 31999 46544 63998 127996 255992 351989 511984 703978 1407956 2815912 5631824