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42458368 = 28237211
BaseRepresentation
bin1010000111110…
…1110100000000
32221220002221011
42201331310000
541332131433
64114010304
71023614221
oct241756400
987802834
1042458368
1121a6a667
1212276994
138a477c4
1458d3248
153ada3cd
hex287dd00

42458368 has 36 divisors (see below), whose sum is σ = 88447968. Its totient is φ = 20303360.

The previous prime is 42458341. The next prime is 42458387. The reversal of 42458368 is 86385424.

It is a self number, because there is not a number n which added to its sum of digits gives 42458368.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2283 + ... + 9493.

It is an arithmetic number, because the mean of its divisors is an integer number (2456888).

Almost surely, 242458368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223984).

42458368 is an abundant number, since it is smaller than the sum of its proper divisors (45989600).

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

42458368 is an equidigital number, since it uses as much as digits as its factorization.

42458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7236 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 42458368 is about 6516.0085942239. The cubic root of 42458368 is about 348.8626153615.

The spelling of 42458368 in words is "forty-two million, four hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 7211 14422 28844 57688 115376 165853 230752 331706 461504 663412 923008 1326824 1846016 2653648 5307296 10614592 21229184 42458368