Search a number
-
+
41662848 = 273108497
BaseRepresentation
bin1001111011101…
…1100110000000
32220101200200110
42132323212000
541131202343
64044551320
71014062013
oct236734600
986350613
1041662848
1121576a07
1211b52540
138829696
14576737a
1539ce833
hex27bb980

41662848 has 32 divisors (see below), whose sum is σ = 110667960. Its totient is φ = 13887488.

The previous prime is 41662813. The next prime is 41662849. The reversal of 41662848 is 84826614.

41662848 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 (32).

It is a super-2 number, since 2×416628482 = 3471585806942208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41662849) 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 3 ways as a sum of consecutive naturals, for example, 53865 + ... + 54632.

Almost surely, 241662848 is an apocalyptic number.

41662848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41662848 is an abundant number, since it is smaller than the sum of its proper divisors (69005112).

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

41662848 is a wasteful number, since it uses less digits than its factorization.

41662848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108514 (or 108502 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 41662848 is about 6454.6764442534. The cubic root of 41662848 is about 346.6700459894.

The spelling of 41662848 in words is "forty-one million, six hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 108497 216994 325491 433988 650982 867976 1301964 1735952 2603928 3471904 5207856 6943808 10415712 13887616 20831424 41662848