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40563216 = 24321012789
BaseRepresentation
bin1001101010111…
…1001000010000
32211022211021100
42122233020100
540341010331
64005224400
71001532051
oct232571020
984284240
1040563216
1120995821
1211702100
138533005
14555c728
153863ae6
hex26af210

40563216 has 60 divisors (see below), whose sum is σ = 114685740. Its totient is φ = 13382400.

The previous prime is 40563197. The next prime is 40563217. The reversal of 40563216 is 61236504.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 6969600 = 5796^2 + 2640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40563216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40563217) 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, 13150 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (1911429).

Almost surely, 240563216 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 40563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57342870).

40563216 is an abundant number, since it is smaller than the sum of its proper divisors (74122524).

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

40563216 is a wasteful number, since it uses less digits than its factorization.

40563216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40563216 is about 6368.9258120974. The cubic root of 40563216 is about 343.5928570557.

The spelling of 40563216 in words is "forty million, five hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 2789 3636 4848 5578 7272 8367 11156 14544 16734 22312 25101 33468 44624 50202 66936 100404 133872 200808 281689 401616 563378 845067 1126756 1690134 2253512 2535201 3380268 4507024 5070402 6760536 10140804 13521072 20281608 40563216