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42524020 = 22571153521
BaseRepresentation
bin1010001000110…
…1110101110100
32222000102222201
42202031311310
541341232040
64115234244
71024306510
oct242156564
988012881
1042524020
1122004a20
12122a8984
138a6b656
14590d140
153aeea9a
hex288dd74

42524020 has 96 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 12979200.

The previous prime is 42524017. The next prime is 42524039. The reversal of 42524020 is 2042524.

42524020 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, 81360 + ... + 81880.

It is an arithmetic number, because the mean of its divisors is an integer number (1183896).

Almost surely, 242524020 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 42524020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827008).

42524020 is an abundant number, since it is smaller than the sum of its proper divisors (71129996).

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

42524020 is a wasteful number, since it uses less digits than its factorization.

42524020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 42524020 is about 6521.0443948803. The cubic root of 42524020 is about 349.0423344184.

Adding to 42524020 its reverse (2042524), we get a palindrome (44566544).

The spelling of 42524020 in words is "forty-two million, five hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 521 530 583 742 770 1042 1060 1166 1484 1540 1855 2084 2332 2605 2915 3647 3710 4081 5210 5731 5830 7294 7420 8162 10420 11462 11660 14588 16324 18235 20405 22924 27613 28655 36470 40117 40810 55226 57310 72940 80234 81620 110452 114620 138065 160468 193291 200585 276130 303743 386582 401170 552260 607486 773164 802340 966455 1214972 1518715 1932910 2126201 3037430 3865820 4252402 6074860 8504804 10631005 21262010 42524020