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28591056 = 2434131697
BaseRepresentation
bin110110100010…
…0001111010000
31222210120120000
41231010033100
524304403211
62500450000
7465006564
oct155041720
958716500
1028591056
111515897a
1296a9900
135c008b0
143b236a4
15279b656
hex1b443d0

28591056 has 100 divisors (see below), whose sum is σ = 89168772. Its totient is φ = 8792064.

The previous prime is 28591051. The next prime is 28591081. The reversal of 28591056 is 65019582.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17139600 + 11451456 = 4140^2 + 3384^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28591056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28591051) 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 19 ways as a sum of consecutive naturals, for example, 16000 + ... + 17696.

Almost surely, 228591056 is an apocalyptic number.

28591056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28591056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44584386).

28591056 is an abundant number, since it is smaller than the sum of its proper divisors (60577716).

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

28591056 is a wasteful number, since it uses less digits than its factorization.

28591056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 28591056 is about 5347.0605008734. The cubic root of 28591056 is about 305.7806963852.

The spelling of 28591056 in words is "twenty-eight million, five hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1697 1872 2106 2808 3394 4212 5091 5616 6788 8424 10182 13576 15273 16848 20364 22061 27152 30546 40728 44122 45819 61092 66183 81456 88244 91638 122184 132366 137457 176488 183276 198549 244368 264732 274914 352976 366552 397098 529464 549828 595647 733104 794196 1058928 1099656 1191294 1588392 1786941 2199312 2382588 3176784 3573882 4765176 7147764 9530352 14295528 28591056