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42888582 = 23311103701
BaseRepresentation
bin1010001110011…
…0110110000110
32222200222002000
42203212312012
541434413312
64131130130
71030355412
oct243466606
988628060
1042888582
1122233910
1212443946
138b68579
1459a5d42
153b72adc
hex28e6d86

42888582 has 64 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 12852000.

The previous prime is 42888541. The next prime is 42888611. The reversal of 42888582 is 28588824.

42888582 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 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 31 ways as a sum of consecutive naturals, for example, 60832 + ... + 61532.

It is an arithmetic number, because the mean of its divisors is an integer number (1642680).

Almost surely, 242888582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42888582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52565760).

42888582 is an abundant number, since it is smaller than the sum of its proper divisors (62242938).

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

42888582 is a wasteful number, since it uses less digits than its factorization.

42888582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 42888582 is about 6548.9374710712. The cubic root of 42888582 is about 350.0369539213.

The spelling of 42888582 in words is "forty-two million, eight hundred eighty-eight thousand, five hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 701 927 1133 1402 1854 2103 2266 2781 3399 4206 5562 6309 6798 7711 10197 12618 15422 18927 20394 23133 30591 37854 46266 61182 69399 72203 138798 144406 208197 216609 416394 433218 649827 794233 1299654 1588466 1949481 2382699 3898962 4765398 7148097 14296194 21444291 42888582