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42202965 = 357267857
BaseRepresentation
bin1010000011111…
…1011101010101
32221102010120210
42200333131111
541300443330
64104320033
71021501500
oct240773525
987363523
1042202965
1121905792
1212173019
13898848c
145868137
153a898b0
hex283f755

42202965 has 48 divisors (see below), whose sum is σ = 79814592. Its totient is φ = 18982656.

The previous prime is 42202961. The next prime is 42202967. The reversal of 42202965 is 56920224.

It is not a de Polignac number, because 42202965 - 22 = 42202961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48817 + ... + 49673.

It is an arithmetic number, because the mean of its divisors is an integer number (1662804).

Almost surely, 242202965 is an apocalyptic number.

It is an amenable number.

42202965 is a deficient number, since it is larger than the sum of its proper divisors (37611627).

42202965 is a wasteful number, since it uses less digits than its factorization.

42202965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42202965 is about 6496.3809155560. The cubic root of 42202965 is about 348.1616949072.

The spelling of 42202965 in words is "forty-two million, two hundred two thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 49 67 105 147 201 245 335 469 735 857 1005 1407 2345 2571 3283 4285 5999 7035 9849 12855 16415 17997 29995 41993 49245 57419 89985 125979 172257 209965 287095 401933 629895 861285 1205799 2009665 2813531 6028995 8440593 14067655 42202965