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42775800 = 2335271293
BaseRepresentation
bin1010001100101…
…1010011111000
32222111020100220
42203023103320
541422311200
64124500040
71026405534
oct243132370
988436326
1042775800
1122167101
12123aa620
138b29132
145976bc4
153b4e4a0
hex28cb4f8

42775800 has 48 divisors (see below), whose sum is σ = 132606840. Its totient is φ = 11406720.

The previous prime is 42775763. The next prime is 42775801. The reversal of 42775800 is 857724.

42775800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42775801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35047 + ... + 36246.

Almost surely, 242775800 is an apocalyptic number.

42775800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42775800 is an abundant number, since it is smaller than the sum of its proper divisors (89831040).

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

42775800 is a wasteful number, since it uses less digits than its factorization.

42775800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71312 (or 71303 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 42775800 is about 6540.3210930351. The cubic root of 42775800 is about 349.7298595784.

The spelling of 42775800 in words is "forty-two million, seven hundred seventy-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 71293 142586 213879 285172 356465 427758 570344 712930 855516 1069395 1425860 1711032 1782325 2138790 2851720 3564650 4277580 5346975 7129300 8555160 10693950 14258600 21387900 42775800