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42126612 = 223111718773
BaseRepresentation
bin1010000010110…
…0110100010100
32221021020211220
42200230310110
541241022422
64102530340
71021033053
oct240546424
987236756
1042126612
1121863390
12121369b0
13895c7b8
14584839a
153a71e5c
hex282cd14

42126612 has 48 divisors (see below), whose sum is σ = 113545152. Its totient is φ = 12014080.

The previous prime is 42126569. The next prime is 42126619. The reversal of 42126612 is 21662124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7143 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (2365524).

Almost surely, 242126612 is an apocalyptic number.

It is an amenable number.

42126612 is an abundant number, since it is smaller than the sum of its proper divisors (71418540).

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

42126612 is a wasteful number, since it uses less digits than its factorization.

42126612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18808 (or 18806 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 42126612 is about 6490.5016755256. The cubic root of 42126612 is about 347.9516051080.

Adding to 42126612 its reverse (21662124), we get a palindrome (63788736).

The spelling of 42126612 in words is "forty-two million, one hundred twenty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 18773 37546 56319 75092 112638 206503 225276 319141 413006 619509 638282 826012 957423 1239018 1276564 1914846 2478036 3510551 3829692 7021102 10531653 14042204 21063306 42126612