Search a number
-
+
49649248 = 2511178297
BaseRepresentation
bin1011110101100…
…1011001100000
310110102102222001
42331121121200
5100202233443
64532053344
71142003665
oct275313140
9113372861
1049649248
1126031240
1214764254
13a39486c
146845a6c
15455ad4d
hex2f59660

49649248 has 48 divisors (see below), whose sum is σ = 112919184. Its totient is φ = 21237760.

The previous prime is 49649221. The next prime is 49649251. The reversal of 49649248 is 84294694.

49649248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49649198 and 49649207.

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, 1836 + ... + 10132.

It is an arithmetic number, because the mean of its divisors is an integer number (2352483).

Almost surely, 249649248 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 49649248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56459592).

49649248 is an abundant number, since it is smaller than the sum of its proper divisors (63269936).

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

49649248 is a wasteful number, since it uses less digits than its factorization.

49649248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8327 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 49649248 is about 7046.2222502558. Note that the first 4 decimals coincide. The cubic root of 49649248 is about 367.5396733204.

The spelling of 49649248 in words is "forty-nine million, six hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 8297 16594 33188 66376 91267 132752 141049 182534 265504 282098 365068 564196 730136 1128392 1460272 1551539 2256784 2920544 3103078 4513568 6206156 12412312 24824624 49649248