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82544814 = 232113531181
BaseRepresentation
bin1001110101110…
…00100010101110
312202022201012100
410322320202232
5132112413224
612105115530
72021422302
oct472704256
9182281170
1082544814
114265a160
1223788ba6
13141417b1
14ad69d02
1573a7ac9
hex4eb88ae

82544814 has 48 divisors (see below), whose sum is σ = 195824304. Its totient is φ = 24921600.

The previous prime is 82544807. The next prime is 82544827. The reversal of 82544814 is 41844528.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69304 + ... + 70484.

It is an arithmetic number, because the mean of its divisors is an integer number (4079673).

Almost surely, 282544814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82544814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97912152).

82544814 is an abundant number, since it is smaller than the sum of its proper divisors (113279490).

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

82544814 is a wasteful number, since it uses less digits than its factorization.

82544814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1550 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 82544814 is about 9085.4176568829. The cubic root of 82544814 is about 435.4081939312.

The spelling of 82544814 in words is "eighty-two million, five hundred forty-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 706 1059 1181 2118 2362 3177 3543 3883 6354 7086 7766 10629 11649 12991 21258 23298 25982 34947 38973 69894 77946 116919 233838 416893 833786 1250679 2501358 3752037 4585823 7504074 9171646 13757469 27514938 41272407 82544814