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42773856 = 2531992239
BaseRepresentation
bin1010001100101…
…0110101100000
32222111010200220
42203022311200
541422230411
64124443040
71026400056
oct243126540
988433626
1042773856
11221656a4
12123a9480
138b28298
1459761d6
153b4db06
hex28cad60

42773856 has 48 divisors (see below), whose sum is σ = 112896000. Its totient is φ = 14179968.

The previous prime is 42773849. The next prime is 42773873. The reversal of 42773856 is 65837724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 17985 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (2352000).

Almost surely, 242773856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42773856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448000).

42773856 is an abundant number, since it is smaller than the sum of its proper divisors (70122144).

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

42773856 is a wasteful number, since it uses less digits than its factorization.

42773856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2443 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 42773856 is about 6540.1724747899. The cubic root of 42773856 is about 349.7245615271.

The spelling of 42773856 in words is "forty-two million, seven hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2239 2388 3184 4478 4776 6368 6717 8956 9552 13434 17912 19104 26868 35824 53736 71648 107472 214944 445561 891122 1336683 1782244 2673366 3564488 5346732 7128976 10693464 14257952 21386928 42773856