Search a number
-
+
5436882 = 23711113
BaseRepresentation
bin10100101111010111010010
3101020020000000
4110233113102
52342440012
6312310430
764132653
oct24572722
911206000
105436882
1130838a0
1219a2416
1311848b9
14a1752a
15725ddc
hex52f5d2

5436882 has 64 divisors (see below), whose sum is σ = 13461120. Its totient is φ = 1632960.

The previous prime is 5436881. The next prime is 5436883. The reversal of 5436882 is 2886345.

It is an interprime number because it is at equal distance from previous prime (5436881) and next prime (5436883).

It is not an unprimeable number, because it can be changed into a prime (5436881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48058 + ... + 48170.

It is an arithmetic number, because the mean of its divisors is an integer number (210330).

Almost surely, 25436882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730560).

5436882 is an abundant number, since it is smaller than the sum of its proper divisors (8024238).

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

5436882 is a wasteful number, since it uses less digits than its factorization.

5436882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5436882 is about 2331.7122463975. The cubic root of 5436882 is about 175.8395792026.

The spelling of 5436882 in words is "five million, four hundred thirty-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 113 162 198 226 243 297 339 486 594 678 729 891 1017 1243 1458 1782 2034 2187 2486 2673 3051 3729 4374 5346 6102 7458 8019 9153 11187 16038 18306 22374 24057 27459 33561 48114 54918 67122 82377 100683 164754 201366 247131 302049 494262 604098 906147 1812294 2718441 5436882