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2533986 = 2327213217
BaseRepresentation
bin1001101010101001100010
311202201222100
421222221202
51122041421
6130151230
730352500
oct11525142
94681870
102533986
111480904
12a22516
136a9500
1449d670
15350c26
hex26aa62

2533986 has 108 divisors (see below), whose sum is σ = 7322562. Its totient is φ = 628992.

The previous prime is 2533967. The next prime is 2534009. The reversal of 2533986 is 6893352.

2533986 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 3 ways, for example, as 1640961 + 893025 = 1281^2 + 945^2 .

It is a d-powerful number, because it can be written as 25 + 57 + 39 + 310 + 9 + 87 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2533986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 149050 + ... + 149066.

22533986 is an apocalyptic number.

2533986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661281).

2533986 is an abundant number, since it is smaller than the sum of its proper divisors (4788576).

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

2533986 is a wasteful number, since it uses less digits than its factorization.

2533986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2533986 is about 1591.8498672928. The cubic root of 2533986 is about 136.3331294180. Note that the first 3 decimals are identical.

It can be divided in two parts, 25339 and 86, that added together give a triangular number (25425 = T225).

The spelling of 2533986 in words is "two million, five hundred thirty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 78 91 98 102 117 119 126 147 153 169 182 221 234 238 273 294 306 338 357 441 442 507 546 637 663 714 819 833 882 1014 1071 1183 1274 1326 1521 1547 1638 1666 1911 1989 2142 2366 2499 2873 3042 3094 3549 3822 3978 4641 4998 5733 5746 7098 7497 8281 8619 9282 10647 10829 11466 13923 14994 16562 17238 20111 21294 21658 24843 25857 27846 32487 40222 49686 51714 60333 64974 74529 97461 120666 140777 149058 180999 194922 281554 361998 422331 844662 1266993 2533986