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42509418 = 23717292053
BaseRepresentation
bin1010001000101…
…0010001101010
32221222200221220
42202022101222
541340300133
64115042510
71024216110
oct242122152
987880856
1042509418
1121aa4a56
12122a0436
138a64b03
145907ab0
153aea5b3
hex288a46a

42509418 has 64 divisors (see below), whose sum is σ = 106479360. Its totient is φ = 11031552.

The previous prime is 42509417. The next prime is 42509429. The reversal of 42509418 is 81490524.

It is not an unprimeable number, because it can be changed into a prime (42509417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19680 + ... + 21732.

It is an arithmetic number, because the mean of its divisors is an integer number (1663740).

Almost surely, 242509418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42509418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53239680).

42509418 is an abundant number, since it is smaller than the sum of its proper divisors (63969942).

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

42509418 is a wasteful number, since it uses less digits than its factorization.

42509418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42509418 is about 6519.9246928166. The cubic root of 42509418 is about 349.0023781799.

The spelling of 42509418 in words is "forty-two million, five hundred nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 406 493 609 714 986 1218 1479 2053 2958 3451 4106 6159 6902 10353 12318 14371 20706 28742 34901 43113 59537 69802 86226 104703 119074 178611 209406 244307 357222 416759 488614 732921 833518 1012129 1250277 1465842 2024258 2500554 3036387 6072774 7084903 14169806 21254709 42509418