Search a number
-
+
49511168 = 28723947
BaseRepresentation
bin1011110011011…
…1101100000000
310110011102112222
42330313230000
5100133324133
64525110212
71140560300
oct274675400
9113142488
1049511168
1125a47523
12146b8368
13a346a65
14680b600
15452ee98
hex2f37b00

49511168 has 54 divisors (see below), whose sum is σ = 114993396. Its totient is φ = 21213696.

The previous prime is 49511167. The next prime is 49511171. The reversal of 49511168 is 86111594.

49511168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49511167) 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 5 ways as a sum of consecutive naturals, for example, 10571 + ... + 14517.

Almost surely, 249511168 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 49511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496698).

49511168 is an abundant number, since it is smaller than the sum of its proper divisors (65482228).

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

49511168 is an equidigital number, since it uses as much as digits as its factorization.

49511168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3956 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 49511168 is about 7036.4172701738. The cubic root of 49511168 is about 367.1986342651.

The spelling of 49511168 in words is "forty-nine million, five hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3947 6272 7894 12544 15788 27629 31576 55258 63152 110516 126304 193403 221032 252608 386806 442064 505216 773612 884128 1010432 1547224 1768256 3094448 3536512 6188896 7073024 12377792 24755584 49511168