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2406812500 = 225697397
BaseRepresentation
bin1000111101110101…
…0000101101010100
320012201211202001201
42033131100231110
514412121000000
61034454202244
7113433366031
oct21735205524
96181752051
102406812500
111025645944
12572053384
132c4832711
1418b914388
15e146e96a
hex8f750b54

2406812500 has 84 divisors (see below), whose sum is σ = 5332509868. Its totient is φ = 950400000.

The previous prime is 2406812497. The next prime is 2406812501. The reversal of 2406812500 is 52186042.

2406812500 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 14 ways, for example, as 2101122244 + 305690256 = 45838^2 + 17484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406812501) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6062302 + ... + 6062698.

Almost surely, 22406812500 is an apocalyptic number.

2406812500 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 2406812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666254934).

2406812500 is an abundant number, since it is smaller than the sum of its proper divisors (2925697368).

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

2406812500 is an frugal number, since it uses more digits than its factorization.

2406812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2406812500 is about 49059.2753717378. The cubic root of 2406812500 is about 1340.1315123023.

Adding to 2406812500 its reverse (52186042), we get a palindrome (2458998542).

The spelling of 2406812500 in words is "two billion, four hundred six million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 397 485 500 625 794 970 1250 1588 1940 1985 2425 2500 3125 3970 4850 6250 7940 9700 9925 12125 12500 15625 19850 24250 31250 38509 39700 48500 49625 60625 62500 77018 99250 121250 154036 192545 198500 242500 248125 303125 385090 496250 606250 770180 962725 992500 1212500 1240625 1515625 1925450 2481250 3031250 3850900 4813625 4962500 6062500 6203125 9627250 12406250 19254500 24068125 24812500 48136250 96272500 120340625 240681250 481362500 601703125 1203406250 2406812500