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5524288 = 267111959
BaseRepresentation
bin10101000100101101000000
3101101122220021
4111010231000
52403234123
6314223224
764645540
oct25045500
911348807
105524288
113133530
121a24b14
1311b5613
14a3b320
15741c5d
hex544b40

5524288 has 112 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 2004480.

The previous prime is 5524283. The next prime is 5524313. The reversal of 5524288 is 8824255.

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 55 + 56 + 2 + 410 + 222 + 83 + 86 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5524283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93603 + ... + 93661.

Almost surely, 25524288 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 5524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

5524288 is an abundant number, since it is smaller than the sum of its proper divisors (9106112).

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

5524288 is a wasteful number, since it uses less digits than its factorization.

5524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The square root of 5524288 is about 2350.3803947446. The cubic root of 5524288 is about 176.7768688643.

The spelling of 5524288 in words is "five million, five hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 59 64 76 77 88 112 118 133 152 154 176 209 224 236 266 304 308 352 413 418 448 472 532 608 616 649 704 826 836 944 1064 1121 1216 1232 1298 1463 1652 1672 1888 2128 2242 2464 2596 2926 3304 3344 3776 4256 4484 4543 4928 5192 5852 6608 6688 7847 8512 8968 9086 10384 11704 12331 13216 13376 15694 17936 18172 20768 23408 24662 26432 31388 35872 36344 41536 46816 49324 62776 71744 72688 86317 93632 98648 125552 145376 172634 197296 251104 290752 345268 394592 502208 690536 789184 1381072 2762144 5524288