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42066010 = 25722932
BaseRepresentation
bin1010000001111…
…0000001011010
32221011011201101
42200132001122
541232103020
64101342014
71020361300
oct240360132
987134641
1042066010
11218218a8
121210790a
13893b03c
145830270
153a5e00a
hex281e05a

42066010 has 36 divisors (see below), whose sum is σ = 88382718. Its totient is φ = 14373408.

The previous prime is 42065983. The next prime is 42066023. The reversal of 42066010 is 1066024.

It can be written as a sum of positive squares in 3 ways, for example, as 41744521 + 321489 = 6461^2 + 567^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143424 + ... + 143716.

Almost surely, 242066010 is an apocalyptic number.

42066010 is an abundant number, since it is smaller than the sum of its proper divisors (46316708).

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

42066010 is an equidigital number, since it uses as much as digits as its factorization.

42066010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42066010 is about 6485.8314810053. The cubic root of 42066010 is about 347.7846743427.

It can be divided in two parts, 420 and 66010, that added together give a triangular number (66430 = T364).

The spelling of 42066010 in words is "forty-two million, sixty-six thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 293 490 586 1465 2051 2930 4102 10255 14357 20510 28714 71785 85849 143570 171698 429245 600943 858490 1201886 3004715 4206601 6009430 8413202 21033005 42066010