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42252435 = 345104327
BaseRepresentation
bin1010000100101…
…1100010010011
32221111122110000
42201023202103
541304034220
64105341043
71022065641
oct241134223
987448400
1042252435
1121939975
1212197783
1389a4b54
14587c191
153a99390
hex284b893

42252435 has 20 divisors (see below), whose sum is σ = 75742128. Its totient is φ = 22534416.

The previous prime is 42252341. The next prime is 42252451. The reversal of 42252435 is 53425224.

It is a happy number.

42252435 is a `hidden beast` number, since 4 + 225 + 2 + 435 = 666.

It is not a de Polignac number, because 42252435 - 28 = 42252179 is a prime.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42252399 and 42252408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51759 + ... + 52568.

Almost surely, 242252435 is an apocalyptic number.

42252435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42252435 is a deficient number, since it is larger than the sum of its proper divisors (33489693).

42252435 is a wasteful number, since it uses less digits than its factorization.

42252435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104344 (or 104335 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 42252435 is about 6500.1873049936. The cubic root of 42252435 is about 348.2976792996.

Adding to 42252435 its reverse (53425224), we get a palindrome (95677659).

The spelling of 42252435 in words is "forty-two million, two hundred fifty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 104327 312981 521635 938943 1564905 2816829 4694715 8450487 14084145 42252435