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42486084 = 22321577517
BaseRepresentation
bin1010001000010…
…0100101000100
32221221111221200
42202010211010
541334023314
64114342500
71024061064
oct242044504
987844850
1042486084
1121a89473
121228aa30
138a572c4
1458dd3a4
153ae3709
hex2884944

42486084 has 36 divisors (see below), whose sum is σ = 108093804. Its totient is φ = 14069952.

The previous prime is 42486061. The next prime is 42486133. The reversal of 42486084 is 48068424.

42486084 is a `hidden beast` number, since 4 + 2 + 48 + 608 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27878400 + 14607684 = 5280^2 + 3822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1894 + ... + 9410.

Almost surely, 242486084 is an apocalyptic number.

It is an amenable number.

42486084 is an abundant number, since it is smaller than the sum of its proper divisors (65607720).

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

42486084 is a wasteful number, since it uses less digits than its factorization.

42486084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42486084 is about 6518.1350093412. The cubic root of 42486084 is about 348.9385091020.

The spelling of 42486084 in words is "forty-two million, four hundred eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 7517 15034 22551 30068 45102 67653 90204 135306 270612 1180169 2360338 3540507 4720676 7081014 10621521 14162028 21243042 42486084