Search a number
-
+
49830352 = 24111329751
BaseRepresentation
bin1011111000010…
…1100111010000
310110202122101121
42332011213100
5100224032402
64540012024
71143356665
oct276054720
9113678347
1049830352
1126145310
1214831014
13a429120
146891a6c
154594837
hex2f859d0

49830352 has 80 divisors (see below), whose sum is σ = 117492480. Its totient is φ = 20160000.

The previous prime is 49830337. The next prime is 49830353. The reversal of 49830352 is 25303894.

It is a happy number.

49830352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49830353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65977 + ... + 66727.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 249830352 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 49830352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746240).

49830352 is an abundant number, since it is smaller than the sum of its proper divisors (67662128).

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

49830352 is a wasteful number, since it uses less digits than its factorization.

49830352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 49830352 is about 7059.0616940214. The cubic root of 49830352 is about 367.9860186875.

The spelling of 49830352 in words is "forty-nine million, eight hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 208 232 286 319 377 464 572 638 751 754 1144 1276 1502 1508 2288 2552 3004 3016 4147 5104 6008 6032 8261 8294 9763 12016 16522 16588 19526 21779 33044 33176 39052 43558 66088 66352 78104 87116 107393 132176 156208 174232 214786 239569 283127 348464 429572 479138 566254 859144 958276 1132508 1718288 1916552 2265016 3114397 3833104 4530032 6228794 12457588 24915176 49830352