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42843200 = 265226777
BaseRepresentation
bin1010001101101…
…1110001000000
32222121122211012
42203123301000
541431440300
64130140052
71030106201
oct243336100
988548735
1042843200
1122202804
1212421628
138b50a0a
1459935a8
153b64435
hex28dbc40

42843200 has 42 divisors (see below), whose sum is σ = 105424986. Its totient is φ = 17136640.

The previous prime is 42843193. The next prime is 42843211. The reversal of 42843200 is 234824.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 42719296 = 352^2 + 6536^2 .

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, 11789 + ... + 14988.

Almost surely, 242843200 is an apocalyptic number.

42843200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42843200 is an abundant number, since it is smaller than the sum of its proper divisors (62581786).

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

42843200 is a wasteful number, since it uses less digits than its factorization.

42843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26799 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 42843200 is about 6545.4717171492. The cubic root of 42843200 is about 349.9134479859.

The spelling of 42843200 in words is "forty-two million, eight hundred forty-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 26777 53554 107108 133885 214216 267770 428432 535540 669425 856864 1071080 1338850 1713728 2142160 2677700 4284320 5355400 8568640 10710800 21421600 42843200