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42023003200 = 265226264377
BaseRepresentation
bin100111001000110001…
…000010010001000000
311000110122200202011221
4213020301002101000
51142030342100300
631145522444424
73015240430213
oct471061022100
9130418622157
1042023003200
1116904987312
128189503714
133c69221c89
14206913377a
15115e3e031a
hex9c8c42440

42023003200 has 42 divisors (see below), whose sum is σ = 103402856186. Its totient is φ = 16809200640.

The previous prime is 42023003173. The next prime is 42023003213. The reversal of 42023003200 is 230032024.

It can be written as a sum of positive squares in 3 ways, for example, as 50466816 + 41972536384 = 7104^2 + 204872^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 13130589 + ... + 13133788.

Almost surely, 242023003200 is an apocalyptic number.

42023003200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42023003200 is an abundant number, since it is smaller than the sum of its proper divisors (61379852986).

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

42023003200 is a wasteful number, since it uses less digits than its factorization.

42023003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26264399 (or 26264384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 42023003200 its reverse (230032024), we get a palindrome (42253035224).

The spelling of 42023003200 in words is "forty-two billion, twenty-three million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 26264377 52528754 105057508 131321885 210115016 262643770 420230032 525287540 656609425 840460064 1050575080 1313218850 1680920128 2101150160 2626437700 4202300320 5252875400 8404600640 10505750800 21011501600 42023003200