Search a number
-
+
42202420 = 22513198543
BaseRepresentation
bin1010000011111…
…1010100110100
32221102002211121
42200333110310
541300434140
64104313324
71021500061
oct240772464
987362747
1042202420
1121905337
1212172844
138988160
145867c68
153a8964a
hex283f534

42202420 has 48 divisors (see below), whose sum is σ = 100477440. Its totient is φ = 14760576.

The previous prime is 42202417. The next prime is 42202421. The reversal of 42202420 is 2420224.

42202420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42202394 and 42202403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202421) 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 15 ways as a sum of consecutive naturals, for example, 669 + ... + 9211.

It is an arithmetic number, because the mean of its divisors is an integer number (2093280).

It is a self-describing number.

Almost surely, 242202420 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 42202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50238720).

42202420 is an abundant number, since it is smaller than the sum of its proper divisors (58275020).

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

42202420 is a wasteful number, since it uses less digits than its factorization.

42202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42202420 is about 6496.3389689886. The cubic root of 42202420 is about 348.1601962057.

Adding to 42202420 its reverse (2420224), we get a palindrome (44622644).

The spelling of 42202420 in words is "forty-two million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 8543 17086 34172 42715 85430 111059 162317 170860 222118 324634 444236 555295 649268 811585 1110590 1623170 2110121 2221180 3246340 4220242 8440484 10550605 21101210 42202420