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42817194 = 2337227499
BaseRepresentation
bin1010001101010…
…1011010101010
32222120100011000
42203111122222
541430122234
64125415430
71026640320
oct243253252
988510130
1042817194
1122195212
121240a576
138b41c24
145987d10
153b5b899
hex28d56aa

42817194 has 64 divisors (see below), whose sum is σ = 109440000. Its totient is φ = 12155184.

The previous prime is 42817193. The next prime is 42817199. The reversal of 42817194 is 49171824.

42817194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42817193) 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, 85557 + ... + 86055.

It is an arithmetic number, because the mean of its divisors is an integer number (1710000).

Almost surely, 242817194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42817194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720000).

42817194 is an abundant number, since it is smaller than the sum of its proper divisors (66622806).

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

42817194 is a wasteful number, since it uses less digits than its factorization.

42817194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 42817194 is about 6543.4848513617. The cubic root of 42817194 is about 349.8426340181.

The spelling of 42817194 in words is "forty-two million, eight hundred seventeen thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 227 378 454 499 681 998 1362 1497 1589 2043 2994 3178 3493 4086 4491 4767 6129 6986 8982 9534 10479 12258 13473 14301 20958 26946 28602 31437 42903 62874 85806 94311 113273 188622 226546 339819 679638 792911 1019457 1585822 2038914 2378733 3058371 4757466 6116742 7136199 14272398 21408597 42817194