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5468526 = 2337172337
BaseRepresentation
bin10100110111000101101110
3101021211102000
4110313011232
52344443101
6313113130
764324140
oct24670556
911254360
105468526
1130a5648
1219b87a6
13119611b
14a24c90
15730486
hex53716e

5468526 has 128 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 1368576.

The previous prime is 5468513. The next prime is 5468527. The reversal of 5468526 is 6258645.

It is a super-2 number, since 2×54685262 = 59809553225352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468527) 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 63 ways as a sum of consecutive naturals, for example, 147780 + ... + 147816.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 25468526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5468526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879680).

5468526 is an abundant number, since it is smaller than the sum of its proper divisors (10290834).

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

5468526 is a wasteful number, since it uses less digits than its factorization.

5468526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5468526 is about 2338.4879730287. The cubic root of 5468526 is about 176.1800627908.

The spelling of 5468526 in words is "five million, four hundred sixty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 27 34 37 42 46 51 54 63 69 74 102 111 119 126 138 153 161 189 207 222 238 259 306 322 333 357 378 391 414 459 483 518 621 629 666 714 777 782 851 918 966 999 1071 1173 1242 1258 1449 1554 1702 1887 1998 2142 2331 2346 2553 2737 2898 3213 3519 3774 4347 4403 4662 5106 5474 5661 5957 6426 6993 7038 7659 8211 8694 8806 10557 11322 11914 13209 13986 14467 15318 16422 16983 17871 21114 22977 24633 26418 28934 33966 35742 39627 43401 45954 49266 53613 73899 79254 86802 101269 107226 118881 130203 147798 160839 202538 237762 260406 303807 321678 390609 607614 781218 911421 1822842 2734263 5468526