Search a number
-
+
49337216 = 274759139
BaseRepresentation
bin1011110000110…
…1001110000000
310102211120221022
42330031032000
5100112242331
64521245012
71136234165
oct274151600
9112746838
1049337216
1125938865
1214633768
13a2b5826
1467a406c
1544e867b
hex2f0d380

49337216 has 64 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 23563776.

The previous prime is 49337203. The next prime is 49337219. The reversal of 49337216 is 61273394.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49337219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354875 + ... + 355013.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 249337216 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 49337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

49337216 is an abundant number, since it is smaller than the sum of its proper divisors (53478784).

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

49337216 is a wasteful number, since it uses less digits than its factorization.

49337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 49337216 is about 7024.0455579388. The cubic root of 49337216 is about 366.7680924190.

The spelling of 49337216 in words is "forty-nine million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 47 59 64 94 118 128 139 188 236 278 376 472 556 752 944 1112 1504 1888 2224 2773 3008 3776 4448 5546 6016 6533 7552 8201 8896 11092 13066 16402 17792 22184 26132 32804 44368 52264 65608 88736 104528 131216 177472 209056 262432 354944 385447 418112 524864 770894 836224 1049728 1541788 3083576 6167152 12334304 24668608 49337216