Search a number
-
+
42326624 = 2523131439
BaseRepresentation
bin1010000101110…
…1101001100000
32221122102012202
42201131221200
541313422444
64111112332
71022525144
oct241355140
987572182
1042326624
112198a68a
12122126a8
1389cc852
14589b224
153ab134e
hex285da60

42326624 has 48 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 20042880.

The previous prime is 42326621. The next prime is 42326633. The reversal of 42326624 is 42662324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42326621) 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, 96197 + ... + 96635.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 242326624 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 42326624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

42326624 is an abundant number, since it is smaller than the sum of its proper divisors (45490336).

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

42326624 is a wasteful number, since it uses less digits than its factorization.

42326624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 42326624 is about 6505.8914838783. The cubic root of 42326624 is about 348.5014131011.

Adding to 42326624 its reverse (42662324), we get a palindrome (84988948).

The spelling of 42326624 in words is "forty-two million, three hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 131 184 262 368 439 524 736 878 1048 1756 2096 3013 3512 4192 6026 7024 10097 12052 14048 20194 24104 40388 48208 57509 80776 96416 115018 161552 230036 323104 460072 920144 1322707 1840288 2645414 5290828 10581656 21163312 42326624