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20882528 = 2517231669
BaseRepresentation
bin100111110101…
…0010001100000
31110021221102222
41033222101200
520321220103
62023330212
7342333002
oct117522140
943257388
1020882528
1110873397
126bb0968
134432034
142ab8372
151c77638
hex13ea460

20882528 has 48 divisors (see below), whose sum is σ = 45450720. Its totient is φ = 9394176.

The previous prime is 20882507. The next prime is 20882531. The reversal of 20882528 is 82528802.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11678 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 220882528 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 20882528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725360).

20882528 is an abundant number, since it is smaller than the sum of its proper divisors (24568192).

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

20882528 is a wasteful number, since it uses less digits than its factorization.

20882528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 20882528 is about 4569.7404740313. The cubic root of 20882528 is about 275.3770167694.

The spelling of 20882528 in words is "twenty million, eight hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 1669 3128 3338 6256 6676 12512 13352 26704 28373 38387 53408 56746 76774 113492 153548 226984 307096 453968 614192 652579 907936 1228384 1305158 2610316 5220632 10441264 20882528