Search a number
-
+
5387382 = 23271113223
BaseRepresentation
bin10100100011010001110110
3101010201002200
4110203101312
52334344012
6311245330
763535440
oct24432166
911121080
105387382
11304a690
121979846
131168200
14a03490
157163dc
hex523476

5387382 has 144 divisors (see below), whose sum is σ = 16443648. Its totient is φ = 1235520.

The previous prime is 5387381. The next prime is 5387383. The reversal of 5387382 is 2837835.

It is an interprime number because it is at equal distance from previous prime (5387381) and next prime (5387383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234223 + ... + 234245.

It is an arithmetic number, because the mean of its divisors is an integer number (114192).

Almost surely, 25387382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221824).

5387382 is an abundant number, since it is smaller than the sum of its proper divisors (11056266).

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

5387382 is a wasteful number, since it uses less digits than its factorization.

5387382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5387382 is about 2321.0734585532. The cubic root of 5387382 is about 175.3043086243.

The spelling of 5387382 in words is "five million, three hundred eighty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 23 26 33 39 42 46 63 66 69 77 78 91 99 117 126 138 143 154 161 169 182 198 207 231 234 253 273 286 299 322 338 414 429 462 483 506 507 546 598 693 759 819 858 897 966 1001 1014 1183 1287 1386 1449 1518 1521 1638 1771 1794 1859 2002 2093 2277 2366 2574 2691 2898 3003 3042 3289 3542 3549 3718 3887 4186 4554 5313 5382 5577 6006 6279 6578 7098 7774 9009 9867 10626 10647 11154 11661 12558 13013 15939 16731 18018 18837 19734 21294 23023 23322 26026 27209 29601 31878 33462 34983 37674 39039 42757 46046 54418 59202 69069 69966 78078 81627 85514 117117 128271 138138 163254 207207 234234 244881 256542 299299 384813 414414 489762 598598 769626 897897 1795794 2693691 5387382