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42590000 = 24544259
BaseRepresentation
bin1010001001110…
…1111100110000
32222010210111102
42202131330300
541400340000
64120503532
71025003045
oct242357460
988123442
1042590000
112204a552
121231aba8
138a926ab
1459291cc
153b143d5
hex289df30

42590000 has 50 divisors (see below), whose sum is σ = 103138860. Its totient is φ = 17032000.

The previous prime is 42589993. The next prime is 42590027. The reversal of 42590000 is 9524.

42590000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 7871 + ... + 12129.

Almost surely, 242590000 is an apocalyptic number.

42590000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51569430).

42590000 is an abundant number, since it is smaller than the sum of its proper divisors (60548860).

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

42590000 is an equidigital number, since it uses as much as digits as its factorization.

42590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 42590000 is about 6526.1014396039. The cubic root of 42590000 is about 349.2227650904. Note that the first 3 decimals are identical.

Adding to 42590000 its reverse (9524), we get a palindrome (42599524).

The spelling of 42590000 in words is "forty-two million, five hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4259 5000 8518 10000 17036 21295 34072 42590 68144 85180 106475 170360 212950 340720 425900 532375 851800 1064750 1703600 2129500 2661875 4259000 5323750 8518000 10647500 21295000 42590000