Search a number
-
+
41166324 = 223210710687
BaseRepresentation
bin1001110100001…
…0010111110100
32212110110120200
42131002113310
541014310244
64030200500
71006623303
oct235022764
985413520
1041166324
1121267961
1211953130
1386b4694
14567843a
153932669
hex27425f4

41166324 has 36 divisors (see below), whose sum is σ = 105041664. Its totient is φ = 13592592.

The previous prime is 41166317. The next prime is 41166353. The reversal of 41166324 is 42366114.

41166324 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1492 + ... + 9195.

It is an arithmetic number, because the mean of its divisors is an integer number (2917824).

Almost surely, 241166324 is an apocalyptic number.

It is an amenable number.

41166324 is an abundant number, since it is smaller than the sum of its proper divisors (63875340).

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

41166324 is a wasteful number, since it uses less digits than its factorization.

41166324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10799 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41166324 is about 6416.0988147004. The cubic root of 41166324 is about 345.2873724091.

It can be divided in two parts, 4116 and 6324, that added together give a triangular number (10440 = T144).

The spelling of 41166324 in words is "forty-one million, one hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 10687 21374 32061 42748 64122 96183 128244 192366 384732 1143509 2287018 3430527 4574036 6861054 10291581 13722108 20583162 41166324