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5226144 = 2537211101
BaseRepresentation
bin10011111011111010100000
3100211111220220
4103323322200
52314214034
6304003040
762264400
oct23737240
910744826
105226144
112a4a530
121900480
13110c9c1
149a0800
156d3749
hex4fbea0

5226144 has 144 divisors (see below), whose sum is σ = 17581536. Its totient is φ = 1344000.

The previous prime is 5226127. The next prime is 5226163. The reversal of 5226144 is 4416225.

It is a super-2 number, since 2×52261442 = 54625162217472, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51694 + ... + 51794.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 25226144 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 5226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768).

5226144 is an abundant number, since it is smaller than the sum of its proper divisors (12355392).

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

5226144 is a wasteful number, since it uses less digits than its factorization.

5226144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 5226144 is about 2286.0761142184. The cubic root of 5226144 is about 173.5376814125.

It can be divided in two parts, 522 and 6144, that added together give a palindrome (6666).

The spelling of 5226144 in words is "five million, two hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 101 112 132 147 154 168 176 196 202 224 231 264 294 303 308 336 352 392 404 462 528 539 588 606 616 672 707 784 808 924 1056 1078 1111 1176 1212 1232 1414 1568 1616 1617 1848 2121 2156 2222 2352 2424 2464 2828 3232 3234 3333 3696 4242 4312 4444 4704 4848 4949 5656 6468 6666 7392 7777 8484 8624 8888 9696 9898 11312 12936 13332 14847 15554 16968 17248 17776 19796 22624 23331 25872 26664 29694 31108 33936 35552 39592 46662 51744 53328 54439 59388 62216 67872 79184 93324 106656 108878 118776 124432 158368 163317 186648 217756 237552 248864 326634 373296 435512 475104 653268 746592 871024 1306536 1742048 2613072 5226144