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20028582 = 2327413877
BaseRepresentation
bin100110001100…
…1110010100110
31101200120001100
41030121302212
520111403312
61553140530
7332145240
oct114316246
941616040
1020028582
111033a852
12685a746
1341c3442
142935090
151b595dc
hex1319ca6

20028582 has 48 divisors (see below), whose sum is σ = 50817312. Its totient is φ = 5581440.

The previous prime is 20028563. The next prime is 20028587. The reversal of 20028582 is 28582002.

It is a super-2 number, since 2×200285822 = 802288193861448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20028587) 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, 3228 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (1058694).

Almost surely, 220028582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20028582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408656).

20028582 is an abundant number, since it is smaller than the sum of its proper divisors (30788730).

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

20028582 is a wasteful number, since it uses less digits than its factorization.

20028582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20028582 is about 4475.3303788659. The cubic root of 20028582 is about 271.5710059186.

It can be divided in two parts, 200 and 28582, that added together give a palindrome (28782).

The spelling of 20028582 in words is "twenty million, twenty-eight thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 3877 5166 7754 11631 23262 27139 34893 54278 69786 81417 158957 162834 244251 317914 476871 488502 953742 1112699 1430613 2225398 2861226 3338097 6676194 10014291 20028582