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2400832125 = 32532134073
BaseRepresentation
bin1000111100011001…
…1100101001111101
320012022120220112100
42033012130221331
514404103112000
61034122055313
7113331510366
oct21706345175
96168526470
102400832125
11102223078a
1257004a539
132c351a633
1418abd8b6d
15e0b8ca00
hex8f19ca7d

2400832125 has 24 divisors (see below), whose sum is σ = 4327902072. Its totient is φ = 1280443200.

The previous prime is 2400832111. The next prime is 2400832139. The reversal of 2400832125 is 5212380042.

It is an interprime number because it is at equal distance from previous prime (2400832111) and next prime (2400832139).

It can be written as a sum of positive squares in 4 ways, for example, as 110061081 + 2290771044 = 10491^2 + 47862^2 .

It is not a de Polignac number, because 2400832125 - 27 = 2400831997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065912 + ... + 1068161.

It is an arithmetic number, because the mean of its divisors is an integer number (180329253).

Almost surely, 22400832125 is an apocalyptic number.

2400832125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2400832125 is a deficient number, since it is larger than the sum of its proper divisors (1927069947).

2400832125 is a wasteful number, since it uses less digits than its factorization.

2400832125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134094 (or 2134081 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2400832125 is about 48998.2869598520. The cubic root of 2400832125 is about 1339.0206189215.

The spelling of 2400832125 in words is "two billion, four hundred million, eight hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 2134073 6402219 10670365 19206657 32011095 53351825 96033285 160055475 266759125 480166425 800277375 2400832125