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2426305112 = 2371119919793
BaseRepresentation
bin1001000010011110…
…0111101001011000
320021002112001220022
42100213213221120
514432113230422
61040432050012
7114061152560
oct22047475130
96232461808
102426305112
111035649a40
12578693908
132c8898bca
14190349da0
15e3020342
hex909e7a58

2426305112 has 64 divisors (see below), whose sum is σ = 5700672000. Its totient is φ = 940515840.

The previous prime is 2426305087. The next prime is 2426305129. The reversal of 2426305112 is 2115036242.

It is a happy number.

It is a super-3 number, since 3×24263051123 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112688 + ... + 132480.

It is an arithmetic number, because the mean of its divisors is an integer number (89073000).

Almost surely, 22426305112 is an apocalyptic number.

2426305112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426305112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850336000).

2426305112 is an abundant number, since it is smaller than the sum of its proper divisors (3274366888).

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

2426305112 is a wasteful number, since it uses less digits than its factorization.

2426305112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20016 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2426305112 is about 49257.5386311578. The cubic root of 2426305112 is about 1343.7396672521.

It can be divided in two parts, 242630 and 5112, that added together give a palindrome (247742).

The spelling of 2426305112 in words is "two billion, four hundred twenty-six million, three hundred five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 199 308 398 616 796 1393 1592 2189 2786 4378 5572 8756 11144 15323 17512 19793 30646 39586 61292 79172 122584 138551 158344 217723 277102 435446 554204 870892 1108408 1524061 1741784 3048122 3938807 6096244 7877614 12192488 15755228 27571649 31510456 43326877 55143298 86653754 110286596 173307508 220573192 303288139 346615016 606576278 1213152556 2426305112