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42090435 = 3451031009
BaseRepresentation
bin1010000010001…
…1111111000011
32221012102020000
42200203333003
541233343220
64102051043
71020522432
oct240437703
987172200
1042090435
1121839192
1212119a83
1389491aa
145839119
153a66390
hex2823fc3

42090435 has 40 divisors (see below), whose sum is σ = 76259040. Its totient is φ = 22208256.

The previous prime is 42090407. The next prime is 42090449. The reversal of 42090435 is 53409024.

42090435 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 42090435 - 25 = 42090403 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 42090399 and 42090408.

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 39 ways as a sum of consecutive naturals, for example, 41211 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (1906476).

Almost surely, 242090435 is an apocalyptic number.

42090435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42090435 is a deficient number, since it is larger than the sum of its proper divisors (34168605).

42090435 is a wasteful number, since it uses less digits than its factorization.

42090435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42090435 is about 6487.7141583149. The cubic root of 42090435 is about 347.8519733100.

Adding to 42090435 its reverse (53409024), we get a palindrome (95499459).

The spelling of 42090435 in words is "forty-two million, ninety thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 103 135 309 405 515 927 1009 1545 2781 3027 4635 5045 8343 9081 13905 15135 27243 41715 45405 81729 103927 136215 311781 408645 519635 935343 1558905 2806029 4676715 8418087 14030145 42090435