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42135036 = 22312292857
BaseRepresentation
bin1010000010111…
…0110111111100
32221021200101220
42200232313330
541241310121
64103033340
71021066446
oct240566774
987250356
1042135036
1121869749
121213b850
138963598
14584b496
153a746c6
hex282edfc

42135036 has 24 divisors (see below), whose sum is σ = 98429520. Its totient is φ = 14028672.

The previous prime is 42135031. The next prime is 42135047. The reversal of 42135036 is 63053124.

It is a happy number.

It is a super-2 number, since 2×421350362 = 3550722517442592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42134997 and 42135015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13320 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (4101230).

Almost surely, 242135036 is an apocalyptic number.

It is an amenable number.

42135036 is an abundant number, since it is smaller than the sum of its proper divisors (56294484).

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

42135036 is a wasteful number, since it uses less digits than its factorization.

42135036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42135036 is about 6491.1505913821. The cubic root of 42135036 is about 347.9747966950.

The spelling of 42135036 in words is "forty-two million, one hundred thirty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 1229 2458 2857 3687 4916 5714 7374 8571 11428 14748 17142 34284 3511253 7022506 10533759 14045012 21067518 42135036