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42935256 = 23327136553
BaseRepresentation
bin1010001111001…
…0001111011000
32222210100002200
42203302033120
541442412011
64132130200
71030641450
oct243621730
988710080
1042935256
1122265991
1212466960
138b838a0
1459b8d60
153b81856
hex28f23d8

42935256 has 96 divisors (see below), whose sum is σ = 143139360. Its totient is φ = 11321856.

The previous prime is 42935239. The next prime is 42935257. The reversal of 42935256 is 65253924.

42935256 is a `hidden beast` number, since 42 + 93 + 525 + 6 = 666.

42935256 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 42935256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42935257) 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, 3276 + ... + 9828.

It is an arithmetic number, because the mean of its divisors is an integer number (1491035).

Almost surely, 242935256 is an apocalyptic number.

It is a pronic number, being equal to 6552×6553.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42935256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71569680).

42935256 is an abundant number, since it is smaller than the sum of its proper divisors (100204104).

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

42935256 is a wasteful number, since it uses less digits than its factorization.

42935256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6578 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 42935256 is about 6552.4999809233. The cubic root of 42935256 is about 350.1638851547.

The spelling of 42935256 in words is "forty-two million, nine hundred thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 6553 13106 19659 26212 39318 45871 52424 58977 78636 85189 91742 117954 137613 157272 170378 183484 235908 255567 275226 340756 366968 412839 471816 511134 550452 596323 681512 766701 825678 1022268 1100904 1192646 1533402 1651356 1788969 2044536 2385292 3066804 3302712 3577938 4770584 5366907 6133608 7155876 10733814 14311752 21467628 42935256