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28540116 = 22321197743
BaseRepresentation
bin110110011011…
…1110011010100
31222200222200100
41230313303110
524301240431
62455414100
7464405223
oct154676324
958628610
1028540116
1115123680
129684330
135bb3657
143b0ccba
15278b4e6
hex1b37cd4

28540116 has 72 divisors (see below), whose sum is σ = 79619904. Its totient is φ = 8547840.

The previous prime is 28540097. The next prime is 28540117. The reversal of 28540116 is 61104582.

28540116 is a `hidden beast` number, since 2 + 8 + 540 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28540116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28540117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38041 + ... + 38783.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 228540116 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 28540116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809952).

28540116 is an abundant number, since it is smaller than the sum of its proper divisors (51079788).

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

28540116 is a wasteful number, since it uses less digits than its factorization.

28540116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28540116 is about 5342.2950124455. The cubic root of 28540116 is about 305.5989877117.

Adding to 28540116 its reverse (61104582), we get a palindrome (89644698).

It can be divided in two parts, 285 and 40116, that added together give a square (40401 = 2012).

The spelling of 28540116 in words is "twenty-eight million, five hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 743 873 1067 1164 1486 1746 2134 2229 2972 3201 3492 4268 4458 6402 6687 8173 8916 9603 12804 13374 16346 19206 24519 26748 32692 38412 49038 72071 73557 98076 144142 147114 216213 288284 294228 432426 648639 792781 864852 1297278 1585562 2378343 2594556 3171124 4756686 7135029 9513372 14270058 28540116