Search a number
-
+
46106208 = 2532160091
BaseRepresentation
bin1010111111100…
…0011001100000
310012202102211100
42233320121200
543300344313
64324114400
71066616301
oct257703140
9105672740
1046106208
1124031305
1213535a00
139723ca5
1461a27a8
1540ab173
hex2bf8660

46106208 has 36 divisors (see below), whose sum is σ = 131115348. Its totient is φ = 15368640.

The previous prime is 46106171. The next prime is 46106209. The reversal of 46106208 is 80260164.

46106208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×461062082 = 4251564832278528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46106209) 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, 79758 + ... + 80333.

It is an arithmetic number, because the mean of its divisors is an integer number (3642093).

Almost surely, 246106208 is an apocalyptic number.

46106208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46106208 is an abundant number, since it is smaller than the sum of its proper divisors (85009140).

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

46106208 is a wasteful number, since it uses less digits than its factorization.

46106208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160107 (or 160096 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46106208 is about 6790.1552265026. The cubic root of 46106208 is about 358.5803348150.

The spelling of 46106208 in words is "forty-six million, one hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 160091 320182 480273 640364 960546 1280728 1440819 1921092 2561456 2881638 3842184 5122912 5763276 7684368 11526552 15368736 23053104 46106208