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5631144 = 2331953233
BaseRepresentation
bin10101011110110010101000
3101121002110220
4111132302220
52420144034
6320410040
765602221
oct25366250
911532426
105631144
1131a6842
121a76920
13122214c
14a68248
15763749
hex55eca8

5631144 has 64 divisors (see below), whose sum is σ = 15163200. Its totient is φ = 1737216.

The previous prime is 5631121. The next prime is 5631169. The reversal of 5631144 is 4411365.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24052 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (236925).

Almost surely, 25631144 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 5631144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581600).

5631144 is an abundant number, since it is smaller than the sum of its proper divisors (9532056).

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

5631144 is a wasteful number, since it uses less digits than its factorization.

5631144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 5631144 is about 2373.0031605542. The cubic root of 5631144 is about 177.9093929301.

It can be divided in two parts, 5631 and 144, that added together give a palindrome (5775).

The spelling of 5631144 in words is "five million, six hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 233 318 424 456 466 636 699 932 1007 1272 1398 1864 2014 2796 3021 4028 4427 5592 6042 8056 8854 12084 12349 13281 17708 24168 24698 26562 35416 37047 49396 53124 74094 98792 106248 148188 234631 296376 469262 703893 938524 1407786 1877048 2815572 5631144