Search a number
-
+
5382336 = 26317297
BaseRepresentation
bin10100100010000011000000
3101010110011210
4110202003000
52334213321
6311210120
763514641
oct24420300
911113153
105382336
113046913
121976940
131165b1b
14a016c8
15714b76
hex5220c0

5382336 has 84 divisors (see below), whose sum is σ = 15283688. Its totient is φ = 1671168.

The previous prime is 5382329. The next prime is 5382337. The reversal of 5382336 is 6332835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55440 + ... + 55536.

Almost surely, 25382336 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 5382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641844).

5382336 is an abundant number, since it is smaller than the sum of its proper divisors (9901352).

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

5382336 is a wasteful number, since it uses less digits than its factorization.

5382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 5382336 is about 2319.9862068555. The cubic root of 5382336 is about 175.2495595914.

The spelling of 5382336 in words is "five million, three hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 136 192 194 204 272 289 291 388 408 544 578 582 776 816 867 1088 1156 1164 1552 1632 1649 1734 2312 2328 3104 3264 3298 3468 4624 4656 4947 6208 6596 6936 9248 9312 9894 13192 13872 18496 18624 19788 26384 27744 28033 39576 52768 55488 56066 79152 84099 105536 112132 158304 168198 224264 316608 336396 448528 672792 897056 1345584 1794112 2691168 5382336