Search a number
-
+
49322016 = 2532414177
BaseRepresentation
bin1011110000100…
…1100000100000
310102210211002100
42330021200200
5100111301031
64521050400
71136141652
oct274114040
9112724070
1049322016
11259283a7
1214626a00
13a2ab933
14679c6d2
1544e3de6
hex2f09820

49322016 has 72 divisors (see below), whose sum is σ = 143714844. Its totient is φ = 16035840.

The previous prime is 49321997. The next prime is 49322017. The reversal of 49322016 is 61022394.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 41616 = 7020^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×493220162 = 4865322524608512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49322017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9720 + ... + 13896.

Almost surely, 249322016 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 49322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71857422).

49322016 is an abundant number, since it is smaller than the sum of its proper divisors (94392828).

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

49322016 is a wasteful number, since it uses less digits than its factorization.

49322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49322016 is about 7022.9634770516. The cubic root of 49322016 is about 366.7304234403.

The spelling of 49322016 in words is "forty-nine million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 4177 5904 8354 11808 12531 16708 25062 33416 37593 50124 66832 75186 100248 133664 150372 171257 200496 300744 342514 400992 513771 601488 685028 1027542 1202976 1370056 1541313 2055084 2740112 3082626 4110168 5480224 6165252 8220336 12330504 16440672 24661008 49322016