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42970000 = 24544297
BaseRepresentation
bin1010001111101…
…0101110010000
32222212002202111
42203322232100
542000020000
64132555104
71031144653
oct243725620
988762674
1042970000
1122289aa7
1212482a94
138b96648
1459c789a
153b8bcba
hex28fab90

42970000 has 50 divisors (see below), whose sum is σ = 104058878. Its totient is φ = 17184000.

The previous prime is 42969989. The next prime is 42970019. The reversal of 42970000 is 7924.

42970000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 16096144 + 26873856 = 4012^2 + 5184^2 .

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

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, 7852 + ... + 12148.

Almost surely, 242970000 is an apocalyptic number.

42970000 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 42970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52029439).

42970000 is an abundant number, since it is smaller than the sum of its proper divisors (61088878).

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

42970000 is an equidigital number, since it uses as much as digits as its factorization.

42970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 42970000 is about 6555.1506466290. The cubic root of 42970000 is about 350.2583127103.

Adding to 42970000 its reverse (7924), we get a palindrome (42977924).

The spelling of 42970000 in words is "forty-two million, nine hundred seventy 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 4297 5000 8594 10000 17188 21485 34376 42970 68752 85940 107425 171880 214850 343760 429700 537125 859400 1074250 1718800 2148500 2685625 4297000 5371250 8594000 10742500 21485000 42970000