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20281888 = 2511157367
BaseRepresentation
bin100110101011…
…1101000100000
31102011102112001
41031113220200
520143010023
62002413344
7334251604
oct115275040
942142461
1020281888
11104a30a0
126961254
134281823
14299d504
151ba96ad
hex1357a20

20281888 has 48 divisors (see below), whose sum is σ = 43956864. Its totient is φ = 9135360.

The previous prime is 20281879. The next prime is 20281889. The reversal of 20281888 is 88818202.

It is a super-2 number, since 2×202818882 = 822709961689088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20281889) 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 7 ways as a sum of consecutive naturals, for example, 55081 + ... + 55447.

It is an arithmetic number, because the mean of its divisors is an integer number (915768).

Almost surely, 220281888 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 20281888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978432).

20281888 is an abundant number, since it is smaller than the sum of its proper divisors (23674976).

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

20281888 is a wasteful number, since it uses less digits than its factorization.

20281888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 20281888 is about 4503.5417173598. The cubic root of 20281888 is about 272.7110863390.

It can be divided in two parts, 2028 and 1888, that added together give a triangular number (3916 = T88).

The spelling of 20281888 in words is "twenty million, two hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 367 628 734 1256 1468 1727 2512 2936 3454 4037 5024 5872 6908 8074 11744 13816 16148 27632 32296 55264 57619 64592 115238 129184 230476 460952 633809 921904 1267618 1843808 2535236 5070472 10140944 20281888