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42301098 = 23271132971
BaseRepresentation
bin1010000101011…
…1011010101010
32221121010012100
42201113122222
541312113343
64110354230
71022360550
oct241273252
987533170
1042301098
1121972494
12121bb976
1389c1048
145891bd0
153aa89d3
hex28576aa

42301098 has 48 divisors (see below), whose sum is σ = 105708096. Its totient is φ = 11975040.

The previous prime is 42301073. The next prime is 42301157. The reversal of 42301098 is 89010324.

42301098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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, 12753 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (2202252).

Almost surely, 242301098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52854048).

42301098 is an abundant number, since it is smaller than the sum of its proper divisors (63406998).

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

42301098 is a wasteful number, since it uses less digits than its factorization.

42301098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42301098 is about 6503.9294276614. The cubic root of 42301098 is about 348.4313418700.

The spelling of 42301098 in words is "forty-two million, three hundred one thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 2971 4746 5942 7119 8913 14238 17826 20797 26739 41594 53478 62391 124782 187173 335723 374346 671446 1007169 2014338 2350061 3021507 4700122 6043014 7050183 14100366 21150549 42301098