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20082544 = 2419312131
BaseRepresentation
bin100110010011…
…0111101110000
31101210022001221
41030212331300
520120120134
61554234424
7332461456
oct114467560
941708057
1020082544
1110377349
126885a14
134211b81
14294a9d6
151b6a5b4
hex1326f70

20082544 has 40 divisors (see below), whose sum is σ = 42298880. Its totient is φ = 9201600.

The previous prime is 20082541. The next prime is 20082551. The reversal of 20082544 is 44528002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20082541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8359 + ... + 10489.

It is an arithmetic number, because the mean of its divisors is an integer number (1057472).

Almost surely, 220082544 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 20082544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149440).

20082544 is an abundant number, since it is smaller than the sum of its proper divisors (22216336).

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

20082544 is a wasteful number, since it uses less digits than its factorization.

20082544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 20082544 is about 4481.3551521833. The cubic root of 20082544 is about 271.8146805717.

The spelling of 20082544 in words is "twenty million, eighty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2131 2356 4262 4712 8524 9424 17048 34096 40489 66061 80978 132122 161956 264244 323912 528488 647824 1056976 1255159 2510318 5020636 10041272 20082544