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2401824049 is a prime number
BaseRepresentation
bin1000111100101000…
…1110110100110001
320012101110022012021
42033022032310301
514404331332144
61034155231441
7113343111322
oct21712166461
96171408167
102401824049
111022848a59
12570448581
132c37a6c81
1418adb6449
15e0cd6884
hex8f28ed31

2401824049 has 2 divisors, whose sum is σ = 2401824050. Its totient is φ = 2401824048.

The previous prime is 2401824041. The next prime is 2401824079. The reversal of 2401824049 is 9404281042.

2401824049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1729977649 + 671846400 = 41593^2 + 25920^2 .

It is a cyclic number.

It is not a de Polignac number, because 2401824049 - 23 = 2401824041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2401824041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200912024 + 1200912025.

It is an arithmetic number, because the mean of its divisors is an integer number (1200912025).

Almost surely, 22401824049 is an apocalyptic number.

It is an amenable number.

2401824049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401824049 is an equidigital number, since it uses as much as digits as its factorization.

2401824049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2401824049 is about 49008.4079419032. The cubic root of 2401824049 is about 1339.2050027436.

The spelling of 2401824049 in words is "two billion, four hundred one million, eight hundred twenty-four thousand, forty-nine".