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2400428257 = 60113732909
BaseRepresentation
bin1000111100010011…
…1010000011100001
320012021211101112021
42033010322003201
514404002201012
61034105301441
7113325206053
oct21704720341
96167741467
102400428257
111021a85307
1256ba94881
132c3408866
1418ab318d3
15e0b0d007
hex8f13a0e1

2400428257 has 8 divisors (see below), whose sum is σ = 2407000680. Its totient is φ = 2393865600.

The previous prime is 2400428249. The next prime is 2400428269. The reversal of 2400428257 is 7528240042.

It can be written as a sum of positive squares in 4 ways, for example, as 1953993616 + 446434641 = 44204^2 + 21129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2400428257 - 23 = 2400428249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400428857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823719 + ... + 826627.

It is an arithmetic number, because the mean of its divisors is an integer number (300875085).

Almost surely, 22400428257 is an apocalyptic number.

It is an amenable number.

2400428257 is a deficient number, since it is larger than the sum of its proper divisors (6572423).

2400428257 is a wasteful number, since it uses less digits than its factorization.

2400428257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 2400428257 is about 48994.1655403988. The cubic root of 2400428257 is about 1338.9455313577.

Adding to 2400428257 its reverse (7528240042), we get a palindrome (9928668299).

The spelling of 2400428257 in words is "two billion, four hundred million, four hundred twenty-eight thousand, two hundred fifty-seven".

Divisors: 1 601 1373 2909 825173 1748309 3994057 2400428257