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42358000 = 245321179
BaseRepresentation
bin1010000110010…
…1010011110000
32221201000020211
42201211103300
541320424000
64111513504
71023015466
oct241452360
987630224
1042358000
1121a01213
1212228894
138a10c09
1458a8836
153aba7ba
hex28654f0

42358000 has 40 divisors (see below), whose sum is σ = 102426480. Its totient is φ = 16942400.

The previous prime is 42357989. The next prime is 42358013. The reversal of 42358000 is 85324.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 8590 + ... + 12589.

It is an arithmetic number, because the mean of its divisors is an integer number (2560662).

Almost surely, 242358000 is an apocalyptic number.

42358000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42358000 is an abundant number, since it is smaller than the sum of its proper divisors (60068480).

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

42358000 is a wasteful number, since it uses less digits than its factorization.

42358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42358000 is about 6508.3023900246. The cubic root of 42358000 is about 348.5875045375.

The spelling of 42358000 in words is "forty-two million, three hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 21179 42358 84716 105895 169432 211790 338864 423580 529475 847160 1058950 1694320 2117900 2647375 4235800 5294750 8471600 10589500 21179000 42358000