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42191856 = 24327192203
BaseRepresentation
bin1010000011110…
…0101111110000
32221101120100100
42200330233300
541300114411
64104152400
71021424220
oct240745760
987346310
1042191856
11218a8403
1212168700
1389833c5
145864080
153a86456
hex283cbf0

42191856 has 120 divisors (see below), whose sum is σ = 142113920. Its totient is φ = 11415168.

The previous prime is 42191791. The next prime is 42191861. The reversal of 42191856 is 65819124.

42191856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42191856.

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 23 ways as a sum of consecutive naturals, for example, 18051 + ... + 20253.

Almost surely, 242191856 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 42191856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71056960).

42191856 is an abundant number, since it is smaller than the sum of its proper divisors (99922064).

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

42191856 is a wasteful number, since it uses less digits than its factorization.

42191856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2234 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 42191856 is about 6495.5258447642. The cubic root of 42191856 is about 348.1311435966.

The spelling of 42191856 in words is "forty-two million, one hundred ninety-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2203 2394 2736 3192 4406 4788 6384 6609 8812 9576 13218 15421 17624 19152 19827 26436 30842 35248 39654 41857 46263 52872 61684 79308 83714 92526 105744 123368 125571 138789 158616 167428 185052 246736 251142 277578 292999 317232 334856 370104 376713 502284 555156 585998 669712 740208 753426 878997 1004568 1110312 1171996 1506852 1757994 2009136 2220624 2343992 2636991 3013704 3515988 4687984 5273982 6027408 7031976 10547964 14063952 21095928 42191856