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20982048 = 253613583
BaseRepresentation
bin101000000001…
…0100100100000
31110110222221220
41100002210200
520332411143
62025415040
7343226103
oct120024440
943428856
1020982048
111093113a
12703a480
134468419
142b0273a
151c96d83
hex1402920

20982048 has 48 divisors (see below), whose sum is σ = 55996416. Its totient is φ = 6877440.

The previous prime is 20982041. The next prime is 20982053. The reversal of 20982048 is 84028902.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20982041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4065 + ... + 7647.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 220982048 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 20982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208).

20982048 is an abundant number, since it is smaller than the sum of its proper divisors (35014368).

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

20982048 is a wasteful number, since it uses less digits than its factorization.

20982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20982048 is about 4580.6165523868. The cubic root of 20982048 is about 275.8137790243.

The spelling of 20982048 in words is "twenty million, nine hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3583 5856 7166 10749 14332 21498 28664 42996 57328 85992 114656 171984 218563 343968 437126 655689 874252 1311378 1748504 2622756 3497008 5245512 6994016 10491024 20982048