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42133581 = 337231847
BaseRepresentation
bin1010000010111…
…0100001001101
32221021121102000
42200232201031
541241233311
64103022513
71021062300
oct240564115
987247360
1042133581
1121868646
121213aa39
138962a19
14584ab37
153a74056
hex282e84d

42133581 has 24 divisors (see below), whose sum is σ = 72613440. Its totient is φ = 24075576.

The previous prime is 42133561. The next prime is 42133589. The reversal of 42133581 is 18533124.

It is a happy number.

It is not a de Polignac number, because 42133581 - 27 = 42133453 is a prime.

It is a super-2 number, since 2×421335812 = 3550477295767122, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133589) 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 23 ways as a sum of consecutive naturals, for example, 14601 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (3025560).

Almost surely, 242133581 is an apocalyptic number.

It is an amenable number.

42133581 is a deficient number, since it is larger than the sum of its proper divisors (30479859).

42133581 is a wasteful number, since it uses less digits than its factorization.

42133581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31870 (or 31857 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42133581 is about 6491.0385147525. The cubic root of 42133581 is about 347.9707912465.

The spelling of 42133581 in words is "forty-two million, one hundred thirty-three thousand, five hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 31847 95541 222929 286623 668787 859869 1560503 2006361 4681509 6019083 14044527 42133581