Search a number
-
+
42569712 = 243510949
BaseRepresentation
bin1010001001100…
…0111111110000
32222002202200000
42202120333300
541344212322
64120230000
71024556643
oct242307760
988082600
1042569712
1122036289
121230b300
138a863a3
145921a5a
153b0d3ac
hex2898ff0

42569712 has 60 divisors (see below), whose sum is σ = 123559800. Its totient is φ = 14188608.

The previous prime is 42569707. The next prime is 42569713. The reversal of 42569712 is 21796524.

42569712 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42569713) 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 11 ways as a sum of consecutive naturals, for example, 1587 + ... + 9362.

It is an arithmetic number, because the mean of its divisors is an integer number (2059330).

Almost surely, 242569712 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 42569712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61779900).

42569712 is an abundant number, since it is smaller than the sum of its proper divisors (80990088).

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

42569712 is a wasteful number, since it uses less digits than its factorization.

42569712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10954 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42569712 is about 6524.5468808186. The cubic root of 42569712 is about 349.1673048356.

The spelling of 42569712 in words is "forty-two million, five hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10949 21898 32847 43796 65694 87592 98541 131388 175184 197082 262776 295623 394164 525552 591246 788328 886869 1182492 1576656 1773738 2364984 2660607 3547476 4729968 5321214 7094952 10642428 14189904 21284856 42569712