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42240858 = 2311283701
BaseRepresentation
bin1010000100100…
…0101101011010
32221111001120020
42201020231122
541303201413
64105211310
71022020122
oct241105532
987431506
1042240858
1121931200
1212190b36
13899c7ba
145877c82
153a95c23
hex2848b5a

42240858 has 48 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 12628000.

The previous prime is 42240851. The next prime is 42240859. The reversal of 42240858 is 85804224.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42240851) 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, 59908 + ... + 60608.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 242240858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

42240858 is an abundant number, since it is smaller than the sum of its proper divisors (51872070).

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

42240858 is a wasteful number, since it uses less digits than its factorization.

42240858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42240858 is about 6499.2967311856. The cubic root of 42240858 is about 348.2658656651.

The spelling of 42240858 in words is "forty-two million, two hundred forty thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 701 726 913 1402 1826 2103 2739 4206 5478 7711 10043 15422 20086 23133 30129 46266 58183 60258 84821 116366 169642 174549 254463 349098 508926 640013 1280026 1920039 3840078 7040143 14080286 21120429 42240858