Search a number
-
+
42202344 = 2331924871
BaseRepresentation
bin1010000011111…
…1010011101000
32221102002201210
42200333103220
541300433334
64104313120
71021466622
oct240772350
987362653
1042202344
1121905278
12121727a0
138988102
145867c12
153a895e9
hex283f4e8

42202344 has 48 divisors (see below), whose sum is σ = 111373920. Its totient is φ = 13324320.

The previous prime is 42202343. The next prime is 42202351. The reversal of 42202344 is 44320224.

42202344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42202344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202343) 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, 6229 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (2320290).

Almost surely, 242202344 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 42202344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55686960).

42202344 is an abundant number, since it is smaller than the sum of its proper divisors (69171576).

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

42202344 is a wasteful number, since it uses less digits than its factorization.

42202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42202344 is about 6496.3331195375. Note that the first 3 decimals coincide. The cubic root of 42202344 is about 348.1599872115.

Adding to 42202344 its reverse (44320224), we get a palindrome (86522568).

The spelling of 42202344 in words is "forty-two million, two hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 4871 8664 9742 14613 19484 29226 38968 58452 92549 116904 185098 277647 370196 555294 740392 1110588 1758431 2221176 3516862 5275293 7033724 10550586 14067448 21101172 42202344