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42287985 = 3257191307
BaseRepresentation
bin1010000101010…
…0001101110001
32221120110012200
42201110031301
541311203420
64110213413
71022304405
oct241241561
987513180
1042287985
1121963653
12121b4269
1389b809c
14588b105
153aa4b90
hex2854371

42287985 has 24 divisors (see below), whose sum is σ = 73457280. Its totient is φ = 22504992.

The previous prime is 42287983. The next prime is 42288013. The reversal of 42287985 is 58978224.

It is not a de Polignac number, because 42287985 - 21 = 42287983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42287985.

It is not an unprimeable number, because it can be changed into a prime (42287983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31702 + ... + 33008.

It is an arithmetic number, because the mean of its divisors is an integer number (3060720).

Almost surely, 242287985 is an apocalyptic number.

42287985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42287985 is a deficient number, since it is larger than the sum of its proper divisors (31169295).

42287985 is a wasteful number, since it uses less digits than its factorization.

42287985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2034 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 42287985 is about 6502.9212666309. The cubic root of 42287985 is about 348.3953345117.

The spelling of 42287985 in words is "forty-two million, two hundred eighty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 719 1307 2157 3595 3921 6471 6535 10785 11763 19605 32355 58815 939733 2819199 4698665 8457597 14095995 42287985