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42175136 = 251971977
BaseRepresentation
bin1010000011100…
…0101010100000
32221100201102002
42200320222200
541244101021
64103543132
71021324403
oct240705240
987321362
1042175136
1121896893
121215aaa8
138978903
14585bd3a
153a8150b
hex2838aa0

42175136 has 48 divisors (see below), whose sum is σ = 88724160. Its totient is φ = 19676160.

The previous prime is 42175127. The next prime is 42175141. The reversal of 42175136 is 63157124.

It is a junction number, because it is equal to n+sod(n) for n = 42175099 and 42175108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42680 + ... + 43656.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 242175136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42175136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44362080).

42175136 is an abundant number, since it is smaller than the sum of its proper divisors (46549024).

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

42175136 is a wasteful number, since it uses less digits than its factorization.

42175136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 42175136 is about 6494.2386774741. The cubic root of 42175136 is about 348.0851511363.

It can be divided in two parts, 421 and 75136, that added together give a palindrome (75557).

The spelling of 42175136 in words is "forty-two million, one hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 568 608 977 1136 1349 1954 2272 2698 3908 5396 7816 10792 15632 18563 21584 31264 37126 43168 69367 74252 138734 148504 277468 297008 554936 594016 1109872 1317973 2219744 2635946 5271892 10543784 21087568 42175136