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2401145625 = 3542944159
BaseRepresentation
bin1000111100011110…
…1001001100011001
320012100011211120110
42033013221030121
514404143130000
61034132514533
7113334254364
oct21707511431
96170154513
102401145625
11102242527a
1257017ba49
132c35ca238
1418ac7b0db
15e0c00850
hex8f1e9319

2401145625 has 40 divisors (see below), whose sum is σ = 4138675200. Its totient is φ = 1236424000.

The previous prime is 2401145581. The next prime is 2401145633. The reversal of 2401145625 is 5265411042.

2401145625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2401145625 - 26 = 2401145561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2401145592 and 2401145601.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32296 + ... + 76454.

It is an arithmetic number, because the mean of its divisors is an integer number (103466880).

Almost surely, 22401145625 is an apocalyptic number.

2401145625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2401145625 is a deficient number, since it is larger than the sum of its proper divisors (1737529575).

2401145625 is an equidigital number, since it uses as much as digits as its factorization.

2401145625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44211 (or 44196 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2401145625 is about 49001.4859468568. The cubic root of 2401145625 is about 1339.0788993665.

Adding to 2401145625 its reverse (5265411042), we get a palindrome (7666556667).

The spelling of 2401145625 in words is "two billion, four hundred one million, one hundred forty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 125 145 375 435 625 725 1875 2175 3625 10875 18125 44159 54375 132477 220795 662385 1103975 1280611 3311925 3841833 5519875 6403055 16559625 19209165 27599375 32015275 82798125 96045825 160076375 480229125 800381875 2401145625