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42006252 = 22317205913
BaseRepresentation
bin1010000000111…
…1011011101100
32221001010202010
42200033123230
541223200002
64100201220
71020022131
oct240173354
987033663
1042006252
1121790a12
1212099210
138919a92
145816588
153a4b46c
hex280f6ec

42006252 has 24 divisors (see below), whose sum is σ = 103780656. Its totient is φ = 13178368.

The previous prime is 42006199. The next prime is 42006277. The reversal of 42006252 is 25260024.

42006252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102753 + ... + 103160.

It is an arithmetic number, because the mean of its divisors is an integer number (4324194).

Almost surely, 242006252 is an apocalyptic number.

It is an amenable number.

42006252 is an abundant number, since it is smaller than the sum of its proper divisors (61774404).

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

42006252 is a wasteful number, since it uses less digits than its factorization.

42006252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205937 (or 205935 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42006252 is about 6481.2230327308. The cubic root of 42006252 is about 347.6199113461.

Adding to 42006252 its reverse (25260024), we get a palindrome (67266276).

The spelling of 42006252 in words is "forty-two million, six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 205913 411826 617739 823652 1235478 2470956 3500521 7001042 10501563 14002084 21003126 42006252