Search a number
-
+
42526432 = 2513151677
BaseRepresentation
bin1010001000111…
…0011011100000
32222000120022001
42202032123200
541341321212
64115253344
71024316524
oct242163340
988016261
1042526432
1122006813
12122aa254
138a6c790
14590dd84
153b00657
hex288e6e0

42526432 has 48 divisors (see below), whose sum is σ = 90895392. Its totient is φ = 19468800.

The previous prime is 42526423. The next prime is 42526439. The reversal of 42526432 is 23462524.

It is a self number, because there is not a number n which added to its sum of digits gives 42526432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42526439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62478 + ... + 63154.

It is an arithmetic number, because the mean of its divisors is an integer number (1893654).

Almost surely, 242526432 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 42526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45447696).

42526432 is an abundant number, since it is smaller than the sum of its proper divisors (48368960).

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

42526432 is a wasteful number, since it uses less digits than its factorization.

42526432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 42526432 is about 6521.2293319588. The cubic root of 42526432 is about 349.0489336235.

Adding to 42526432 its reverse (23462524), we get a palindrome (65988956).

The spelling of 42526432 in words is "forty-two million, five hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 302 416 604 677 1208 1354 1963 2416 2708 3926 4832 5416 7852 8801 10832 15704 17602 21664 31408 35204 62816 70408 102227 140816 204454 281632 408908 817816 1328951 1635632 2657902 3271264 5315804 10631608 21263216 42526432