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42766820 = 2253757793
BaseRepresentation
bin1010001100100…
…1000111100100
32222110210001022
42203021013210
541422014240
64124350312
71026340415
oct243110744
988423038
1042766820
1122160388
12123a5398
138b25015
14597380c
153b4b9b5
hex28c91e4

42766820 has 24 divisors (see below), whose sum is σ = 92239224. Its totient is φ = 16644096.

The previous prime is 42766819. The next prime is 42766961. The reversal of 42766820 is 2866724.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 25989604 = 4096^2 + 5098^2 .

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 7 ways as a sum of consecutive naturals, for example, 28157 + ... + 29636.

It is an arithmetic number, because the mean of its divisors is an integer number (3843301).

Almost surely, 242766820 is an apocalyptic number.

It is an amenable number.

42766820 is an abundant number, since it is smaller than the sum of its proper divisors (49472404).

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

42766820 is a wasteful number, since it uses less digits than its factorization.

42766820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57839 (or 57837 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 42766820 is about 6539.6345463642. The cubic root of 42766820 is about 349.7053847279.

The spelling of 42766820 in words is "forty-two million, seven hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 57793 115586 231172 288965 577930 1155860 2138341 4276682 8553364 10691705 21383410 42766820