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42890435 = 57389281
BaseRepresentation
bin1010001110011…
…1010011000011
32222201001121122
42203213103003
541434443220
64131142455
71030364000
oct243472303
988631548
1042890435
1122235245
1212444a2b
138b69373
1459a68a7
153b73425
hex28e74c3

42890435 has 32 divisors (see below), whose sum is σ = 60912000. Its totient is φ = 28976640.

The previous prime is 42890431. The next prime is 42890459. The reversal of 42890435 is 53409824.

42890435 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 42890435 - 22 = 42890431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 42890395 and 42890404.

It is not an unprimeable number, because it can be changed into a prime (42890431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 152495 + ... + 152775.

It is an arithmetic number, because the mean of its divisors is an integer number (1903500).

Almost surely, 242890435 is an apocalyptic number.

42890435 is a deficient number, since it is larger than the sum of its proper divisors (18021565).

42890435 is an equidigital number, since it uses as much as digits as its factorization.

42890435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 42890435 is about 6549.0789428743. The cubic root of 42890435 is about 350.0419949610.

The spelling of 42890435 in words is "forty-two million, eight hundred ninety thousand, four hundred thirty-five".

Divisors: 1 5 7 35 49 89 245 281 343 445 623 1405 1715 1967 3115 4361 9835 13769 21805 25009 30527 68845 96383 125045 152635 175063 481915 875315 1225441 6127205 8578087 42890435