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5139288 = 2334711103
BaseRepresentation
bin10011100110101101011000
3100200002210000
4103212231120
52303424123
6302053000
761453230
oct23465530
910602700
105139288
1129a0250
12187a160
1310ac2cb
1497acc0
156b7b43
hex4e6b58

5139288 has 160 divisors (see below), whose sum is σ = 18120960. Its totient is φ = 1321920.

The previous prime is 5139271. The next prime is 5139301. The reversal of 5139288 is 8829315.

It is a Cunningham number, because it is equal to 22672-1.

It is a super-2 number, since 2×51392882 = 52824562293888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49845 + ... + 49947.

It is an arithmetic number, because the mean of its divisors is an integer number (113256).

Almost surely, 25139288 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 5139288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060480).

5139288 is an abundant number, since it is smaller than the sum of its proper divisors (12981672).

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

5139288 is a wasteful number, since it uses less digits than its factorization.

5139288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5139288 is about 2266.9997794442. Note that the first 3 decimals coincide. The cubic root of 5139288 is about 172.5709349095.

It can be divided in two parts, 513 and 9288, that added together give a square (9801 = 992).

The spelling of 5139288 in words is "five million, one hundred thirty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 103 108 126 132 154 162 168 189 198 206 216 231 252 264 297 308 309 324 378 396 412 462 504 567 594 616 618 648 693 721 756 792 824 891 924 927 1133 1134 1188 1236 1386 1442 1512 1782 1848 1854 2079 2163 2266 2268 2376 2472 2772 2781 2884 3399 3564 3708 4158 4326 4532 4536 5544 5562 5768 6237 6489 6798 7128 7416 7931 8316 8343 8652 9064 10197 11124 12474 12978 13596 15862 16632 16686 17304 19467 20394 22248 23793 24948 25956 27192 30591 31724 33372 38934 40788 47586 49896 51912 58401 61182 63448 66744 71379 77868 81576 91773 95172 116802 122364 142758 155736 183546 190344 214137 233604 244728 285516 367092 428274 467208 571032 642411 734184 856548 1284822 1713096 2569644 5139288