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41681268 = 223210311123
BaseRepresentation
bin1001111100000…
…0000101110100
32220102121221200
42133000011310
541132300033
64045212500
71014166506
oct237000564
986377850
1041681268
1121589832
1211b61130
138834b95
14576dd76
1539d5013
hex27c0174

41681268 has 36 divisors (see below), whose sum is σ = 105557088. Its totient is φ = 13867920.

The previous prime is 41681261. The next prime is 41681309. The reversal of 41681268 is 86218614.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41681261) 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, 36555 + ... + 37677.

Almost surely, 241681268 is an apocalyptic number.

It is an amenable number.

41681268 is an abundant number, since it is smaller than the sum of its proper divisors (63875820).

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

41681268 is a wasteful number, since it uses less digits than its factorization.

41681268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41681268 is about 6456.1031590271. The cubic root of 41681268 is about 346.7211284422.

The spelling of 41681268 in words is "forty-one million, six hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1031 1123 2062 2246 3093 3369 4124 4492 6186 6738 9279 10107 12372 13476 18558 20214 37116 40428 1157813 2315626 3473439 4631252 6946878 10420317 13893756 20840634 41681268