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42319266 = 2311271821
BaseRepresentation
bin1010000101101…
…1110110100010
32221122001010020
42201123312202
541313204031
64111014310
71022464533
oct241336642
987561106
1042319266
1121985100
121220a396
1389c93b2
14589868a
153aae096
hex285bda2

42319266 has 48 divisors (see below), whose sum is σ = 94457664. Its totient is φ = 12628000.

The previous prime is 42319261. The next prime is 42319283. The reversal of 42319266 is 66291324.

42319266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42319261) 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 23 ways as a sum of consecutive naturals, for example, 51136 + ... + 51956.

It is an arithmetic number, because the mean of its divisors is an integer number (1967868).

Almost surely, 242319266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42319266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228832).

42319266 is an abundant number, since it is smaller than the sum of its proper divisors (52138398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42319266 is a wasteful number, since it uses less digits than its factorization.

42319266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 42319266 is about 6505.3259718480. The cubic root of 42319266 is about 348.4812176011.

The spelling of 42319266 in words is "forty-two million, three hundred nineteen thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 71 121 142 213 242 363 426 726 781 821 1562 1642 2343 2463 4686 4926 8591 9031 17182 18062 25773 27093 51546 54186 58291 99341 116582 174873 198682 298023 349746 596046 641201 1282402 1923603 3847206 7053211 14106422 21159633 42319266