Search a number
-
+
49195146 = 23711138191
BaseRepresentation
bin1011101110101…
…0100010001010
310102120101001110
42323222202022
5100043221041
64514231150
71135103040
oct273524212
9112511043
1049195146
1125851050
12145854b6
13a265c70
146768390
1544bb516
hex2eea88a

49195146 has 64 divisors (see below), whose sum is σ = 132120576. Its totient is φ = 11793600.

The previous prime is 49195129. The next prime is 49195147. The reversal of 49195146 is 64159194.

49195146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×491951462 = 4840324779922632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49195147) 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 31 ways as a sum of consecutive naturals, for example, 1911 + ... + 10101.

It is an arithmetic number, because the mean of its divisors is an integer number (2064384).

Almost surely, 249195146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49195146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060288).

49195146 is an abundant number, since it is smaller than the sum of its proper divisors (82925430).

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

49195146 is a wasteful number, since it uses less digits than its factorization.

49195146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227.

The product of its digits is 38880, while the sum is 39.

The square root of 49195146 is about 7013.9251493012. The cubic root of 49195146 is about 366.4157090844.

The spelling of 49195146 in words is "forty-nine million, one hundred ninety-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 8191 16382 24573 49146 57337 90101 106483 114674 172011 180202 212966 270303 319449 344022 540606 630707 638898 745381 1171313 1261414 1490762 1892121 2236143 2342626 3513939 3784242 4472286 7027878 8199191 16398382 24597573 49195146