Search a number
-
+
5362632 = 2333113761
BaseRepresentation
bin10100011101001111001000
3101002110011000
4110131033020
52333101012
6310535000
763403332
oct24351710
911073130
105362632
113033030
121967460
131159b72
149d8452
1570dddc
hex51d3c8

5362632 has 128 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1555200.

The previous prime is 5362627. The next prime is 5362639. The reversal of 5362632 is 2362635.

5362632 is a `hidden beast` number, since 5 + 3 + 626 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5362596 and 5362605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362639) 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 31 ways as a sum of consecutive naturals, for example, 87882 + ... + 87942.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 25362632 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 5362632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5362632 is an abundant number, since it is smaller than the sum of its proper divisors (11600568).

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

5362632 is a wasteful number, since it uses less digits than its factorization.

5362632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 5362632 is about 2315.7357362186. The cubic root of 5362632 is about 175.0354431613.

The spelling of 5362632 in words is "five million, three hundred sixty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 61 66 72 74 88 99 108 111 122 132 148 183 198 216 222 244 264 296 297 333 366 396 407 444 488 549 594 666 671 732 792 814 888 999 1098 1188 1221 1332 1342 1464 1628 1647 1998 2013 2196 2257 2376 2442 2664 2684 3256 3294 3663 3996 4026 4392 4514 4884 5368 6039 6588 6771 7326 7992 8052 9028 9768 10989 12078 13176 13542 14652 16104 18056 18117 20313 21978 24156 24827 27084 29304 36234 40626 43956 48312 49654 54168 60939 72468 74481 81252 87912 99308 121878 144936 148962 162504 198616 223443 243756 297924 446886 487512 595848 670329 893772 1340658 1787544 2681316 5362632