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42382417 = 7111813041
BaseRepresentation
bin1010000110101…
…1010001010001
32221202020202011
42201223101101
541322214132
64112222521
71023146620
oct241532121
987666664
1042382417
1121a185a0
121223aa41
138a1c06c
1458b36b7
153ac2b47
hex286b451

42382417 has 16 divisors (see below), whose sum is σ = 53149824. Its totient is φ = 32832000.

The previous prime is 42382409. The next prime is 42382421. The reversal of 42382417 is 71428324.

It is a cyclic number.

It is not a de Polignac number, because 42382417 - 23 = 42382409 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42382447) 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 15 ways as a sum of consecutive naturals, for example, 12417 + ... + 15457.

It is an arithmetic number, because the mean of its divisors is an integer number (3321864).

Almost surely, 242382417 is an apocalyptic number.

It is an amenable number.

42382417 is a deficient number, since it is larger than the sum of its proper divisors (10767407).

42382417 is a wasteful number, since it uses less digits than its factorization.

42382417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240.

The product of its digits is 10752, while the sum is 31.

The square root of 42382417 is about 6510.1779545570. The cubic root of 42382417 is about 348.6544720223.

The spelling of 42382417 in words is "forty-two million, three hundred eighty-two thousand, four hundred seventeen".

Divisors: 1 7 11 77 181 1267 1991 3041 13937 21287 33451 234157 550421 3852947 6054631 42382417