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42135534 = 23271731933
BaseRepresentation
bin1010000010111…
…0111111101110
32221021201002100
42200232333232
541241314114
64103035530
71021101060
oct240567756
987251070
1042135534
112186a061
121213bba6
13896388c
14584b730
153a74909
hex282efee

42135534 has 48 divisors (see below), whose sum is σ = 104992992. Its totient is φ = 11962944.

The previous prime is 42135523. The next prime is 42135551. The reversal of 42135534 is 43553124.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42135498 and 42135507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20832 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (2187354).

Almost surely, 242135534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42135534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496496).

42135534 is an abundant number, since it is smaller than the sum of its proper divisors (62857458).

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

42135534 is a wasteful number, since it uses less digits than its factorization.

42135534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2118 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42135534 is about 6491.1889511861. The cubic root of 42135534 is about 347.9761676109.

Adding to 42135534 its reverse (43553124), we get a palindrome (85688658).

The spelling of 42135534 in words is "forty-two million, one hundred thirty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 1933 2422 3114 3633 3866 5799 7266 10899 11598 13531 17397 21798 27062 34794 40593 81186 121779 243558 334409 668818 1003227 2006454 2340863 3009681 4681726 6019362 7022589 14045178 21067767 42135534