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41224068 = 22323730949
BaseRepresentation
bin1001110101000…
…0011110000100
32212120101210100
42131100132010
541023132233
64031324100
71010253534
oct235203604
985511710
1041224068
11212a7286
1211980630
138704a52
1456914c4
153944813
hex2750784

41224068 has 36 divisors (see below), whose sum is σ = 107025100. Its totient is φ = 13369536.

The previous prime is 41224061. The next prime is 41224069. The reversal of 41224068 is 86042214.

41224068 is a `hidden beast` number, since 412 + 240 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 2883204 = 6192^2 + 1698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41224061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14143 + ... + 16806.

Almost surely, 241224068 is an apocalyptic number.

It is an amenable number.

41224068 is an abundant number, since it is smaller than the sum of its proper divisors (65801032).

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

41224068 is a wasteful number, since it uses less digits than its factorization.

41224068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30996 (or 30991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41224068 is about 6420.5971684883. The cubic root of 41224068 is about 345.4487418399.

The spelling of 41224068 in words is "forty-one million, two hundred twenty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 30949 61898 92847 123796 185694 278541 371388 557082 1114164 1145113 2290226 3435339 4580452 6870678 10306017 13741356 20612034 41224068