Search a number
-
+
49194336 = 2534710903
BaseRepresentation
bin1011101110101…
…0010101100000
310102120022221110
42323222111200
5100043204321
64514223320
71135100502
oct273522540
9112508843
1049194336
1125850484
1214584b40
13a265799
146767d72
1544bb176
hex2eea560

49194336 has 48 divisors (see below), whose sum is σ = 131894784. Its totient is φ = 16047744.

The previous prime is 49194331. The next prime is 49194337. The reversal of 49194336 is 63349194.

49194336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 49194294 and 49194303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49194331) 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 7 ways as a sum of consecutive naturals, for example, 940 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (2747808).

Almost surely, 249194336 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 49194336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65947392).

49194336 is an abundant number, since it is smaller than the sum of its proper divisors (82700448).

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

49194336 is a wasteful number, since it uses less digits than its factorization.

49194336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10963 (or 10955 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 49194336 is about 7013.8674067878. The cubic root of 49194336 is about 366.4136980571.

The spelling of 49194336 in words is "forty-nine million, one hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 10903 21806 32709 43612 65418 87224 130836 174448 261672 348896 512441 523344 1024882 1046688 1537323 2049764 3074646 4099528 6149292 8199056 12298584 16398112 24597168 49194336