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20894848 = 271329433
BaseRepresentation
bin100111110110…
…1010010000000
31110022120100021
41033231102000
520322113343
62023503224
7342413632
oct117552200
943276307
1020894848
1110881677
126bb7b14
134437820
142abca52
151c7b0ed
hex13ed480

20894848 has 64 divisors (see below), whose sum is σ = 46481400. Its totient is φ = 9289728.

The previous prime is 20894843. The next prime is 20894857. The reversal of 20894848 is 84849802.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 10705984 = 3192^2 + 3272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20894843) 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, 48040 + ... + 48472.

Almost surely, 220894848 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 20894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240700).

20894848 is an abundant number, since it is smaller than the sum of its proper divisors (25586552).

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

20894848 is a wasteful number, since it uses less digits than its factorization.

20894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 20894848 is about 4571.0882730483. The cubic root of 20894848 is about 275.4311605634.

The spelling of 20894848 in words is "twenty million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 433 464 754 832 866 928 1508 1664 1732 1856 3016 3464 3712 5629 6032 6928 11258 12064 12557 13856 22516 24128 25114 27712 45032 48256 50228 55424 90064 100456 163241 180128 200912 326482 360256 401824 652964 720512 803648 1305928 1607296 2611856 5223712 10447424 20894848