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42383832 = 23319412267
BaseRepresentation
bin1010000110101…
…1100111011000
32221202022200120
42201223213120
541322240312
64112233240
71023154011
oct241534730
987668616
1042383832
1121a19667
121223b820
138a1c8ba
1458b4008
153ac328c
hex286b9d8

42383832 has 64 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 13052160.

The previous prime is 42383821. The next prime is 42383843. The reversal of 42383832 is 23838324.

42383832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42383821) and next prime (42383843).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42383793 and 42383802.

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, 17563 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 242383832 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 42383832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

42383832 is an abundant number, since it is smaller than the sum of its proper divisors (71923368).

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

42383832 is a wasteful number, since it uses less digits than its factorization.

42383832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2332 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 42383832 is about 6510.2866296347. The cubic root of 42383832 is about 348.6583520951.

It can be divided in two parts, 423 and 83832, that added together give a triangular number (84255 = T410).

The spelling of 42383832 in words is "forty-two million, three hundred eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2267 2337 3116 4534 4674 6232 6801 9068 9348 13602 18136 18696 27204 43073 54408 86146 92947 129219 172292 185894 258438 278841 344584 371788 516876 557682 743576 1033752 1115364 1765993 2230728 3531986 5297979 7063972 10595958 14127944 21191916 42383832