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42023135 = 5721131503
BaseRepresentation
bin1010000001001…
…1100011011111
32221001222220102
42200103203133
541224220020
64100411315
71020122300
oct240234337
987058812
1042023135
11217a2670
12120a6b3b
13892467b
14581c7a7
153a51475
hex28138df

42023135 has 48 divisors (see below), whose sum is σ = 66189312. Its totient is φ = 25300800.

The previous prime is 42023129. The next prime is 42023147. The reversal of 42023135 is 53132024.

It is a happy number.

42023135 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 42023135 - 24 = 42023119 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 83294 + ... + 83796.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 242023135 is an apocalyptic number.

42023135 is a deficient number, since it is larger than the sum of its proper divisors (24166177).

42023135 is a wasteful number, since it uses less digits than its factorization.

42023135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42023135 is about 6482.5253566801. The cubic root of 42023135 is about 347.6664764849. Note that the first 3 decimals are identical.

Adding to 42023135 its reverse (53132024), we get a palindrome (95155159).

Subtracting 42023135 from its reverse (53132024), we obtain a square (11108889 = 33332).

It can be divided in two parts, 4202 and 3135, that added together give a palindrome (7337).

The spelling of 42023135 in words is "forty-two million, twenty-three thousand, one hundred thirty-five".

Divisors: 1 5 7 11 31 35 49 55 77 155 217 245 341 385 503 539 1085 1519 1705 2387 2515 2695 3521 5533 7595 11935 15593 16709 17605 24647 27665 38731 77965 83545 109151 123235 171523 193655 271117 545755 764057 857615 1200661 1355585 3820285 6003305 8404627 42023135