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42423400 = 2352212117
BaseRepresentation
bin1010000111010…
…1010001101000
32221211022222001
42201311101220
541330022100
64113140344
71023410245
oct241652150
987738861
1042423400
1121a46368
121225a6b4
138a34906
1458c45cc
153aced6a
hex2875468

42423400 has 24 divisors (see below), whose sum is σ = 98634870. Its totient is φ = 16969280.

The previous prime is 42423383. The next prime is 42423401. The reversal of 42423400 is 432424.

It can be written as a sum of positive squares in 3 ways, for example, as 20088324 + 22335076 = 4482^2 + 4726^2 .

It is a super-3 number, since 3×424234003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42423401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 105859 + ... + 106258.

Almost surely, 242423400 is an apocalyptic number.

42423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42423400 is an abundant number, since it is smaller than the sum of its proper divisors (56211470).

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

42423400 is a wasteful number, since it uses less digits than its factorization.

42423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212133 (or 212124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42423400 is about 6513.3248038156. The cubic root of 42423400 is about 348.7668165904.

Adding to 42423400 its reverse (432424), we get a palindrome (42855824).

The spelling of 42423400 in words is "forty-two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 212117 424234 848468 1060585 1696936 2121170 4242340 5302925 8484680 10605850 21211700 42423400