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42523572 = 22372135563
BaseRepresentation
bin1010001000110…
…1101110110100
32222000102101010
42202031232310
541341223242
64115232220
71024305300
oct242155664
988012333
1042523572
1122004653
12122a8670
138a6b3a0
14590cd00
153aee89c
hex288dbb4

42523572 has 72 divisors (see below), whose sum is σ = 124322016. Its totient is φ = 11212992.

The previous prime is 42523571. The next prime is 42523583. The reversal of 42523572 is 27532524.

42523572 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 not an unprimeable number, because it can be changed into a prime (42523571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4863 + ... + 10425.

Almost surely, 242523572 is an apocalyptic number.

42523572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62161008).

42523572 is an abundant number, since it is smaller than the sum of its proper divisors (81798444).

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

42523572 is a wasteful number, since it uses less digits than its factorization.

42523572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5588 counting only the distinct ones).

The product of its digits is 16800, while the sum is 30.

The square root of 42523572 is about 6521.0100444640. The cubic root of 42523572 is about 349.0411086679.

The spelling of 42523572 in words is "forty-two million, five hundred twenty-three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5563 7644 11126 16689 22252 33378 38941 66756 72319 77882 116823 144638 155764 216957 233646 272587 289276 433914 467292 506233 545174 817761 867828 1012466 1090348 1518699 1635522 2024932 3037398 3271044 3543631 6074796 7087262 10630893 14174524 21261786 42523572