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42399400 = 2352211997
BaseRepresentation
bin1010000110111…
…1011010101000
32221210010001011
42201233122220
541323240100
64112433304
71023250261
oct241573250
987703034
1042399400
1121a2a32a
1212248834
138a26a04
1458b9968
153ac7bba
hex286f6a8

42399400 has 24 divisors (see below), whose sum is σ = 98579070. Its totient is φ = 16959680.

The previous prime is 42399391. The next prime is 42399403. The reversal of 42399400 is 499324.

42399400 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 3 ways, for example, as 24029604 + 18369796 = 4902^2 + 4286^2 .

It is a super-3 number, since 3×423994003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42399403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 105799 + ... + 106198.

Almost surely, 242399400 is an apocalyptic number.

42399400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42399400 is an abundant number, since it is smaller than the sum of its proper divisors (56179670).

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

42399400 is a wasteful number, since it uses less digits than its factorization.

42399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212013 (or 212004 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 42399400 is about 6511.4821661431. The cubic root of 42399400 is about 348.7010354213.

The spelling of 42399400 in words is "forty-two million, three hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211997 423994 847988 1059985 1695976 2119970 4239940 5299925 8479880 10599850 21199700 42399400