Search a number
-
+
49468068 = 223213105701
BaseRepresentation
bin1011110010110…
…1001010100100
310110002020102200
42330231022210
5100130434233
64524134500
71140320526
oct274551244
9113066380
1049468068
1125a18101
1214697430
13a330260
1467d9a16
154522313
hex2f2d2a4

49468068 has 36 divisors (see below), whose sum is σ = 134664348. Its totient is φ = 15220800.

The previous prime is 49468063. The next prime is 49468093. The reversal of 49468068 is 86086494.

It is a happy number.

49468068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 41447844 = 2832^2 + 6438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (49468063) 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 11 ways as a sum of consecutive naturals, for example, 52383 + ... + 53318.

Almost surely, 249468068 is an apocalyptic number.

It is an amenable number.

49468068 is an abundant number, since it is smaller than the sum of its proper divisors (85196280).

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

49468068 is a wasteful number, since it uses less digits than its factorization.

49468068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105724 (or 105719 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49468068 is about 7033.3539652146. The cubic root of 49468068 is about 367.0920532228.

The spelling of 49468068 in words is "forty-nine million, four hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 105701 211402 317103 422804 634206 951309 1268412 1374113 1902618 2748226 3805236 4122339 5496452 8244678 12367017 16489356 24734034 49468068