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240422442 = 23132415783
BaseRepresentation
bin11100101010010…
…00111000101010
3121202101201120220
432111020320222
5443022004232
635505030510
75646362031
oct1625107052
9552351526
10240422442
11113791a37
1268625436
133aa6b200
1423d05718
151619142c
hexe548e2a

240422442 has 48 divisors (see below), whose sum is σ = 533469888. Its totient is φ = 72159360.

The previous prime is 240422423. The next prime is 240422471. The reversal of 240422442 is 244224042.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38683 + ... + 44465.

It is an arithmetic number, because the mean of its divisors is an integer number (11113956).

Almost surely, 2240422442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240422442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266734944).

240422442 is an abundant number, since it is smaller than the sum of its proper divisors (293047446).

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

240422442 is a wasteful number, since it uses less digits than its factorization.

240422442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 240422442 is about 15505.5616473574. The cubic root of 240422442 is about 621.8109056675.

Adding to 240422442 its reverse (244224042), we get a palindrome (484646484).

The spelling of 240422442 in words is "two hundred forty million, four hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 3198 5783 6929 11566 13858 17349 20787 34698 41574 75179 150358 225537 237103 451074 474206 711309 977327 1422618 1954654 2931981 3082339 5863962 6164678 9247017 18494034 40070407 80140814 120211221 240422442