Search a number
-
+
2476431140 = 2251718140241
BaseRepresentation
bin1001001110011011…
…0101011100100100
320101120211201212212
42103212311130210
520032431244030
61045422302552
7115240213601
oct22346653444
96346751785
102476431140
111060976407
12591427a58
13306099791
14196c776a8
15e7622595
hex939b5724

2476431140 has 48 divisors (see below), whose sum is σ = 5536977264. Its totient is φ = 927129600.

The previous prime is 2476431121. The next prime is 2476431161. The reversal of 2476431140 is 411346742.

2476431140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 607425316 + 1869005824 = 24646^2 + 43232^2 .

It is a super-2 number, since 2×24764311402 = 12265422382323399200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2476431097 and 2476431106.

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, 41420 + ... + 81660.

It is an arithmetic number, because the mean of its divisors is an integer number (115353693).

Almost surely, 22476431140 is an apocalyptic number.

2476431140 is a gapful number since it is divisible by the number (20) 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 2476431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768488632).

2476431140 is an abundant number, since it is smaller than the sum of its proper divisors (3060546124).

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

2476431140 is a wasteful number, since it uses less digits than its factorization.

2476431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40448 (or 40446 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2476431140 is about 49763.7532748486. The cubic root of 2476431140 is about 1352.9302860912.

Adding to 2476431140 its reverse (411346742), we get a palindrome (2887777882).

The spelling of 2476431140 in words is "two billion, four hundred seventy-six million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 3077 3620 6154 12308 15385 30770 40241 61540 80482 160964 201205 402410 684097 804820 1368194 2736388 3420485 6840970 7283621 13681940 14567242 29134484 36418105 72836210 123821557 145672420 247643114 495286228 619107785 1238215570 2476431140