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41329188 = 22325321661
BaseRepresentation
bin1001110110101…
…0001000100100
32212202201222200
42131222020210
541040013223
64033454500
71011202155
oct235521044
985681880
1041329188
112136925a
1211a11430
138740854
1456bb92c
153965a43
hex276a224

41329188 has 36 divisors (see below), whose sum is σ = 106447068. Its totient is φ = 13515840.

The previous prime is 41329177. The next prime is 41329217. The reversal of 41329188 is 88192314.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 19873764 = 4632^2 + 4458^2 .

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

It is a super-3 number, since 3×413291883 (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 8923 + ... + 12738.

It is an arithmetic number, because the mean of its divisors is an integer number (2956863).

Almost surely, 241329188 is an apocalyptic number.

It is an amenable number.

41329188 is an abundant number, since it is smaller than the sum of its proper divisors (65117880).

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

41329188 is a wasteful number, since it uses less digits than its factorization.

41329188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21724 (or 21719 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 41329188 is about 6428.7781109632. The cubic root of 41329188 is about 345.7421202070.

The spelling of 41329188 in words is "forty-one million, three hundred twenty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 21661 43322 64983 86644 129966 194949 259932 389898 779796 1148033 2296066 3444099 4592132 6888198 10332297 13776396 20664594 41329188