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42770025 = 345221121
BaseRepresentation
bin1010001100100…
…1111001101001
32222110221110000
42203021321221
541422120100
64124413213
71026352644
oct243117151
988427400
1042770025
1122162831
12123a7209
138b2660c
145974a5b
153b4c900
hex28c9e69

42770025 has 30 divisors (see below), whose sum is σ = 79228622. Its totient is φ = 22809600.

The previous prime is 42769999. The next prime is 42770069. The reversal of 42770025 is 52007724.

42770025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 37124649 = 2376^2 + 6093^2 .

It is not a de Polignac number, because 42770025 - 212 = 42765929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian 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 29 ways as a sum of consecutive naturals, for example, 8536 + ... + 12585.

Almost surely, 242770025 is an apocalyptic number.

42770025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42770025 is a deficient number, since it is larger than the sum of its proper divisors (36458597).

42770025 is a wasteful number, since it uses less digits than its factorization.

42770025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21143 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42770025 is about 6539.8795860474. The cubic root of 42770025 is about 349.7141202988.

Adding to 42770025 its reverse (52007724), we get a palindrome (94777749).

The spelling of 42770025 in words is "forty-two million, seven hundred seventy thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 21121 63363 105605 190089 316815 528025 570267 950445 1584075 1710801 2851335 4752225 8554005 14256675 42770025