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42783400 = 23521119447
BaseRepresentation
bin1010001100110…
…1001010101000
32222111121210101
42203031022220
541423032100
64124555144
71026436642
oct243151250
988447711
1042783400
1122171890
12123b2ab4
138b2c72a
145979892
153b5186a
hex28cd2a8

42783400 has 48 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 15556800.

The previous prime is 42783361. The next prime is 42783401. The reversal of 42783400 is 438724.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42783401) 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 11 ways as a sum of consecutive naturals, for example, 7524 + ... + 11923.

It is an arithmetic number, because the mean of its divisors is an integer number (2260830).

Almost surely, 242783400 is an apocalyptic number.

42783400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42783400 is an abundant number, since it is smaller than the sum of its proper divisors (65736440).

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

42783400 is a wasteful number, since it uses less digits than its factorization.

42783400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42783400 is about 6540.9020784598. The cubic root of 42783400 is about 349.7505705843.

The spelling of 42783400 in words is "forty-two million, seven hundred eighty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19447 38894 77788 97235 155576 194470 213917 388940 427834 486175 777880 855668 972350 1069585 1711336 1944700 2139170 3889400 4278340 5347925 8556680 10695850 21391700 42783400