Search a number
-
+
49184256 = 293114171
BaseRepresentation
bin1011101110011…
…1111000000000
310102112211010010
42323213320000
5100042344011
64514104520
71135026222
oct273477000
9112484103
1049184256
1125843950
121457b140
13a261014
146764412
1544b81a6
hex2ee7e00

49184256 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 14336000.

The previous prime is 49184249. The next prime is 49184257. The reversal of 49184256 is 65248194.

49184256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (69120) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49184257) 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, 692701 + ... + 692771.

Almost surely, 249184256 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 49184256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

49184256 is an abundant number, since it is smaller than the sum of its proper divisors (99306240).

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

49184256 is a wasteful number, since it uses less digits than its factorization.

49184256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 49184256 is about 7013.1487935164. The cubic root of 49184256 is about 366.3886700920.

The spelling of 49184256 in words is "forty-nine million, one hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 71 82 88 96 123 128 132 142 164 176 192 213 246 256 264 284 328 352 384 426 451 492 512 528 568 656 704 768 781 852 902 984 1056 1136 1312 1353 1408 1536 1562 1704 1804 1968 2112 2272 2343 2624 2706 2816 2911 3124 3408 3608 3936 4224 4544 4686 5248 5412 5632 5822 6248 6816 7216 7872 8448 8733 9088 9372 10496 10824 11644 12496 13632 14432 15744 16896 17466 18176 18744 20992 21648 23288 24992 27264 28864 31488 32021 34932 36352 37488 43296 46576 49984 54528 57728 62976 64042 69864 74976 86592 93152 96063 99968 109056 115456 128084 139728 149952 173184 186304 192126 199936 230912 256168 279456 299904 346368 372608 384252 399872 512336 558912 599808 692736 745216 768504 1024672 1117824 1199616 1490432 1537008 2049344 2235648 3074016 4098688 4471296 6148032 8197376 12296064 16394752 24592128 49184256