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42142600 = 2352210713
BaseRepresentation
bin1010000011000…
…0101110001000
32221022001210001
42200300232020
541242030400
64103132344
71021130503
oct240605610
987261701
1042142600
11218743a5
12121440b4
138966b66
14585013a
153a76a6a
hex2830b88

42142600 has 24 divisors (see below), whose sum is σ = 97982010. Its totient is φ = 16856960.

The previous prime is 42142577. The next prime is 42142621. The reversal of 42142600 is 624124.

It can be written as a sum of positive squares in 3 ways, for example, as 16112196 + 26030404 = 4014^2 + 5102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105157 + ... + 105556.

Almost surely, 242142600 is an apocalyptic number.

42142600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142600 is an abundant number, since it is smaller than the sum of its proper divisors (55839410).

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

42142600 is a wasteful number, since it uses less digits than its factorization.

42142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210729 (or 210720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42142600 is about 6491.7332046226. The cubic root of 42142600 is about 347.9956180362.

Adding to 42142600 its reverse (624124), we get a palindrome (42766724).

The spelling of 42142600 in words is "forty-two million, one hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 210713 421426 842852 1053565 1685704 2107130 4214260 5267825 8428520 10535650 21071300 42142600