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20522448 = 2432532689
BaseRepresentation
bin100111001001…
…0010111010000
31102121122111200
41032102113100
520223204243
62011511200
7336303132
oct116222720
942548450
1020522448
1110647901
126a58500
13433717b
142a23052
151c05ad3
hex13925d0

20522448 has 60 divisors (see below), whose sum is σ = 58539780. Its totient is φ = 6709248.

The previous prime is 20522429. The next prime is 20522449. The reversal of 20522448 is 84422502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 13927824 = 2568^2 + 3732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20522449) 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 11 ways as a sum of consecutive naturals, for example, 6288 + ... + 8976.

It is an arithmetic number, because the mean of its divisors is an integer number (975663).

Almost surely, 220522448 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 20522448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269890).

20522448 is an abundant number, since it is smaller than the sum of its proper divisors (38017332).

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

20522448 is a wasteful number, since it uses less digits than its factorization.

20522448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20522448 is about 4530.1708577050. The cubic root of 20522448 is about 273.7850446159.

The spelling of 20522448 in words is "twenty million, five hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 2689 3816 5378 7632 8067 10756 16134 21512 24201 32268 43024 48402 64536 96804 129072 142517 193608 285034 387216 427551 570068 855102 1140136 1282653 1710204 2280272 2565306 3420408 5130612 6840816 10261224 20522448