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42965007 = 3411632143
BaseRepresentation
bin1010001111100…
…1100000001111
32222211211220120
42203321200033
541444340012
64132520023
71031124261
oct243714017
988754816
1042965007
1122286278
1212480013
138b942a7
1459c5b31
153b8a58c
hex28f980f

42965007 has 16 divisors (see below), whose sum is σ = 59071488. Its totient is φ = 27760320.

The previous prime is 42964997. The next prime is 42965009. The reversal of 42965007 is 70056924.

42965007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42965007 - 27 = 42964879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42965009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18978 + ... + 21120.

It is an arithmetic number, because the mean of its divisors is an integer number (3691968).

Almost surely, 242965007 is an apocalyptic number.

42965007 is a deficient number, since it is larger than the sum of its proper divisors (16106481).

42965007 is a wasteful number, since it uses less digits than its factorization.

42965007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 42965007 is about 6554.7697900079. The cubic root of 42965007 is about 350.2447458226.

The spelling of 42965007 in words is "forty-two million, nine hundred sixty-five thousand, seven".

Divisors: 1 3 41 123 163 489 2143 6429 6683 20049 87863 263589 349309 1047927 14321669 42965007