Search a number
-
+
5662944 = 25327532
BaseRepresentation
bin10101100110100011100000
3101122201002200
4111212203200
52422203234
6321213200
766064020
oct25464340
911581080
105662944
113218721
121a91200
131233771
14a75a80
1576cd99
hex5668e0

5662944 has 108 divisors (see below), whose sum is σ = 18758376. Its totient is φ = 1587456.

The previous prime is 5662933. The next prime is 5662963. The reversal of 5662944 is 4492665.

5662944 is a `hidden beast` number, since 566 + 2 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5662899 and 5662908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106822 + ... + 106874.

Almost surely, 25662944 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 5662944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379188).

5662944 is an abundant number, since it is smaller than the sum of its proper divisors (13095432).

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

5662944 is a wasteful number, since it uses less digits than its factorization.

5662944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 65 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5662944 is about 2379.6940979882. The cubic root of 5662944 is about 178.2436590718.

The spelling of 5662944 in words is "five million, six hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2809 2968 3339 3816 4452 5088 5618 5936 6678 7632 8427 8904 11236 11872 13356 15264 16854 17808 19663 22472 25281 26712 33708 35616 39326 44944 50562 53424 58989 67416 78652 89888 101124 106848 117978 134832 157304 176967 202248 235956 269664 314608 353934 404496 471912 629216 707868 808992 943824 1415736 1887648 2831472 5662944