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41214636 = 22333591063
BaseRepresentation
bin1001110100111…
…0001010101100
32212112220212000
42131032022230
541022332021
64031212300
71010214201
oct235161254
985486760
1041214636
11212a0191
1211977090
138700678
14568bca8
153941b26
hex274e2ac

41214636 has 48 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 13687056.

The previous prime is 41214631. The next prime is 41214661. The reversal of 41214636 is 63641214.

41214636 is a `hidden beast` number, since 4 + 1 + 21 + 4 + 636 = 666.

41214636 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 2×412146362 = 3397292441224992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (41214631) 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 15 ways as a sum of consecutive naturals, for example, 38241 + ... + 39303.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 241214636 is an apocalyptic number.

It is an amenable number.

41214636 is an abundant number, since it is smaller than the sum of its proper divisors (66036564).

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

41214636 is a wasteful number, since it uses less digits than its factorization.

41214636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

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

The square root of 41214636 is about 6419.8626153525. The cubic root of 41214636 is about 345.4223937927.

The spelling of 41214636 in words is "forty-one million, two hundred fourteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 359 718 1063 1077 1436 2126 2154 3189 3231 4252 4308 6378 6462 9567 9693 12756 12924 19134 19386 28701 38268 38772 57402 114804 381617 763234 1144851 1526468 2289702 3434553 4579404 6869106 10303659 13738212 20607318 41214636