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2488080438 = 2321972710007
BaseRepresentation
bin1001010001001101…
…0001100000110110
320102101202120201100
42110103101200312
520043422033223
61050520110530
7115441222554
oct22423214066
96371676640
102488080438
111067502728
12595305446
13308617c5c
1419862abd4
15e8674043
hex944d1836

2488080438 has 48 divisors (see below), whose sum is σ = 5682942720. Its totient is φ = 784550448.

The previous prime is 2488080403. The next prime is 2488080451. The reversal of 2488080438 is 8340808842.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2488080393 and 2488080402.

It is a congruent number.

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, 243631 + ... + 253637.

It is an arithmetic number, because the mean of its divisors is an integer number (118394640).

Almost surely, 22488080438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488080438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841471360).

2488080438 is an abundant number, since it is smaller than the sum of its proper divisors (3194862282).

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

2488080438 is a wasteful number, since it uses less digits than its factorization.

2488080438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10761 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2488080438 is about 49880.6619643324. The cubic root of 2488080438 is about 1355.0483932191.

The spelling of 2488080438 in words is "two billion, four hundred eighty-eight million, eighty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 727 1454 2181 4362 6543 10007 13086 13813 20014 27626 30021 41439 60042 82878 90063 124317 180126 190133 248634 380266 570399 1140798 1711197 3422394 7275089 14550178 21825267 43650534 65475801 130951602 138226691 276453382 414680073 829360146 1244040219 2488080438