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42761048 = 23112337571
BaseRepresentation
bin1010001100011…
…1101101011000
32222110111010112
42203013231120
541421323143
64124303452
71026314531
oct243075530
988414115
1042761048
1122157010
12123a1b88
138b224c5
145971688
153b49e18
hex28c7b58

42761048 has 64 divisors (see below), whose sum is σ = 93899520. Its totient is φ = 18057600.

The previous prime is 42761009. The next prime is 42761053. The reversal of 42761048 is 84016724.

42761048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74603 + ... + 75173.

It is an arithmetic number, because the mean of its divisors is an integer number (1467180).

Almost surely, 242761048 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 42761048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949760).

42761048 is an abundant number, since it is smaller than the sum of its proper divisors (51138472).

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

42761048 is a wasteful number, since it uses less digits than its factorization.

42761048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 42761048 is about 6539.1932224090. The cubic root of 42761048 is about 349.6896514227.

The spelling of 42761048 in words is "forty-two million, seven hundred sixty-one thousand, forty-eight".

Divisors: 1 2 4 8 11 22 23 37 44 46 74 88 92 148 184 253 296 407 506 571 814 851 1012 1142 1628 1702 2024 2284 3256 3404 4568 6281 6808 9361 12562 13133 18722 21127 25124 26266 37444 42254 50248 52532 74888 84508 105064 144463 169016 232397 288926 464794 485921 577852 929588 971842 1155704 1859176 1943684 3887368 5345131 10690262 21380524 42761048