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20826048 = 263313499
BaseRepresentation
bin100111101110…
…0011111000000
31110012001222010
41033130133000
520312413143
62022212520
7342006225
oct117343700
943161863
1020826048
1110834a11
126b84140
134412409
142aa194c
151c65a33
hex13dc7c0

20826048 has 56 divisors (see below), whose sum is σ = 56896000. Its totient is φ = 6716160.

The previous prime is 20826023. The next prime is 20826053. The reversal of 20826048 is 84062802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 4203 + ... + 7701.

It is an arithmetic number, because the mean of its divisors is an integer number (1016000).

Almost surely, 220826048 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 20826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448000).

20826048 is an abundant number, since it is smaller than the sum of its proper divisors (36069952).

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

20826048 is a wasteful number, since it uses less digits than its factorization.

20826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20826048 is about 4563.5565078127. The cubic root of 20826048 is about 275.1285261476.

The spelling of 20826048 in words is "twenty million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3499 5952 6998 10497 13996 20994 27992 41988 55984 83976 108469 111968 167952 216938 223936 325407 335904 433876 650814 671808 867752 1301628 1735504 2603256 3471008 5206512 6942016 10413024 20826048