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42072630 = 2351402421
BaseRepresentation
bin1010000001111…
…1101000110110
32221011111210120
42200133220312
541232311010
64101432410
71020416505
oct240375066
987144716
1042072630
1121826876
121210b706
138941062
14583283c
153a60e70
hex281fa36

42072630 has 16 divisors (see below), whose sum is σ = 100974384. Its totient is φ = 11219360.

The previous prime is 42072629. The next prime is 42072691. The reversal of 42072630 is 3627024.

42072630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42072630.

It is a congruent number.

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, 701181 + ... + 701240.

It is an arithmetic number, because the mean of its divisors is an integer number (6310899).

Almost surely, 242072630 is an apocalyptic number.

42072630 is an abundant number, since it is smaller than the sum of its proper divisors (58901754).

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

42072630 is a wasteful number, since it uses less digits than its factorization.

42072630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402431.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 42072630 is about 6486.3418041297. The cubic root of 42072630 is about 347.8029172089.

Adding to 42072630 its reverse (3627024), we get a palindrome (45699654).

The spelling of 42072630 in words is "forty-two million, seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1402421 2804842 4207263 7012105 8414526 14024210 21036315 42072630