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42181104 = 2437125539
BaseRepresentation
bin1010000011101…
…0000111110000
32221101000121010
42200322013300
541244243404
64104030520
71021350660
oct240720760
987330533
1042181104
11218a0319
1212162440
13897b544
1458601a0
153a83189
hex283a1f0

42181104 has 40 divisors (see below), whose sum is σ = 124535680. Its totient is φ = 12051648.

The previous prime is 42181093. The next prime is 42181127. The reversal of 42181104 is 40118124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 62434 + ... + 63105.

It is an arithmetic number, because the mean of its divisors is an integer number (3113392).

Almost surely, 242181104 is an apocalyptic number.

It is an amenable number.

42181104 is an abundant number, since it is smaller than the sum of its proper divisors (82354576).

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

42181104 is a wasteful number, since it uses less digits than its factorization.

42181104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125557 (or 125551 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 42181104 is about 6494.6981454106. The cubic root of 42181104 is about 348.1015689787.

Adding to 42181104 its reverse (40118124), we get a palindrome (82299228).

The spelling of 42181104 in words is "forty-two million, one hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 125539 251078 376617 502156 753234 878773 1004312 1506468 1757546 2008624 2636319 3012936 3515092 5272638 6025872 7030184 10545276 14060368 21090552 42181104