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5022864 = 2433711151
BaseRepresentation
bin10011001010010010010000
3100110012002000
4103022102100
52241212424
6255354000
760456630
oct23122220
910405060
105022864
112920830
121822900
13106b312
1494a6c0
156933c9
hex4ca490

5022864 has 160 divisors (see below), whose sum is σ = 18094080. Its totient is φ = 1296000.

The previous prime is 5022833. The next prime is 5022881. The reversal of 5022864 is 4682205.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33189 + ... + 33339.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 25022864 is an apocalyptic number.

5022864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047040).

5022864 is an abundant number, since it is smaller than the sum of its proper divisors (13071216).

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

5022864 is a wasteful number, since it uses less digits than its factorization.

5022864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5022864 is about 2241.1746919863. The cubic root of 5022864 is about 171.2578443136.

It can be divided in two parts, 5022 and 864, that added together give a triangular number (5886 = T108).

The spelling of 5022864 in words is "five million, twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 151 154 168 176 189 198 216 231 252 264 297 302 308 336 378 396 432 453 462 504 528 594 604 616 693 756 792 906 924 1008 1057 1188 1208 1232 1359 1386 1512 1584 1661 1812 1848 2079 2114 2376 2416 2718 2772 3024 3171 3322 3624 3696 4077 4158 4228 4752 4983 5436 5544 6342 6644 7248 8154 8316 8456 9513 9966 10872 11088 11627 12684 13288 14949 16308 16632 16912 19026 19932 21744 23254 25368 26576 28539 29898 32616 33264 34881 38052 39864 44847 46508 50736 57078 59796 65232 69762 76104 79728 89694 93016 104643 114156 119592 139524 152208 179388 186032 209286 228312 239184 279048 313929 358776 418572 456624 558096 627858 717552 837144 1255716 1674288 2511432 5022864