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41223996 = 223211195479
BaseRepresentation
bin1001110101000…
…0011100111100
32212120101200200
42131100130330
541023131441
64031323500
71010253402
oct235203474
985511620
1041223996
11212a7220
1211980590
1387049c8
145691472
1539447b6
hex275073c

41223996 has 72 divisors (see below), whose sum is σ = 119683200. Its totient is φ = 11832480.

The previous prime is 41223967. The next prime is 41224013. The reversal of 41223996 is 69932214.

41223996 is a `hidden beast` number, since 412 + 239 + 9 + 6 = 666.

41223996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41223996.

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 23 ways as a sum of consecutive naturals, for example, 4785 + ... + 10263.

Almost surely, 241223996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41223996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59841600).

41223996 is an abundant number, since it is smaller than the sum of its proper divisors (78459204).

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

41223996 is a wasteful number, since it uses less digits than its factorization.

41223996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5514 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 41223996 is about 6420.5915615308. The cubic root of 41223996 is about 345.4485407250.

It can be divided in two parts, 4122 and 3996, that added together give a palindrome (8118).

The spelling of 41223996 in words is "forty-one million, two hundred twenty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 5479 7524 10958 16437 21916 32874 49311 60269 65748 98622 104101 120538 180807 197244 208202 241076 312303 361614 416404 542421 624606 723228 936909 1084842 1145111 1249212 1873818 2169684 2290222 3435333 3747636 4580444 6870666 10305999 13741332 20611998 41223996