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2425555242 = 2321144327653
BaseRepresentation
bin1001000010010011…
…0000100100101010
320021001002222021100
42100210300210222
514431420231432
61040404022230
7114051610425
oct22044604452
96231088240
102425555242
111035187610
12578391976
132c86957b6
141901d29bc
15e2e2307c
hex9093092a

2425555242 has 48 divisors (see below), whose sum is σ = 5746279968. Its totient is φ = 733331040.

The previous prime is 2425555199. The next prime is 2425555303.

2425555242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2425555197 and 2425555206.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73888 + ... + 101540.

It is an arithmetic number, because the mean of its divisors is an integer number (119714166).

Almost surely, 22425555242 is an apocalyptic number.

2425555242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425555242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873139984).

2425555242 is an abundant number, since it is smaller than the sum of its proper divisors (3320724726).

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

2425555242 is a wasteful number, since it uses less digits than its factorization.

2425555242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28115 (or 28112 counting only the distinct ones).

The product of its digits is 160000, while the sum is 36.

The square root of 2425555242 is about 49249.9263146657. The cubic root of 2425555242 is about 1343.6012216402.

It can be divided in two parts, 24255 and 55242, that added together give a palindrome (79497).

The spelling of 2425555242 in words is "two billion, four hundred twenty-five million, five hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 443 886 1329 2658 3987 4873 7974 9746 14619 27653 29238 43857 55306 82959 87714 165918 248877 304183 497754 608366 912549 1825098 2737647 5475294 12250279 24500558 36750837 73501674 110252511 134753069 220505022 269506138 404259207 808518414 1212777621 2425555242