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5382468 = 22327133153
BaseRepresentation
bin10100100010000101000100
3101010110100200
4110202011010
52334214333
6311210500
763515220
oct24420504
911113320
105382468
113046a23
121976a30
131165bc0
14a01780
15714c13
hex522144

5382468 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1347840.

The previous prime is 5382463. The next prime is 5382469. The reversal of 5382468 is 8642835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5382463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101530 + ... + 101582.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 25382468 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 5382468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5382468 is an abundant number, since it is smaller than the sum of its proper divisors (12229308).

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

5382468 is a wasteful number, since it uses less digits than its factorization.

5382468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

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

The square root of 5382468 is about 2320.0146551261. The cubic root of 5382468 is about 175.2509922254.

The spelling of 5382468 in words is "five million, three hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 53 62 63 78 84 91 93 106 117 124 126 156 159 182 186 212 217 234 252 273 279 318 364 371 372 403 434 468 477 546 558 636 651 689 742 806 819 868 954 1092 1113 1116 1209 1302 1378 1484 1612 1638 1643 1908 1953 2067 2226 2418 2604 2756 2821 3276 3286 3339 3627 3906 4134 4452 4823 4836 4929 5642 6201 6572 6678 7254 7812 8268 8463 9646 9858 11284 11501 12402 13356 14469 14508 14787 16926 19292 19716 21359 23002 24804 25389 28938 29574 33852 34503 42718 43407 46004 50778 57876 59148 64077 69006 85436 86814 101556 103509 128154 138012 149513 173628 192231 207018 256308 299026 384462 414036 448539 598052 768924 897078 1345617 1794156 2691234 5382468