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415532801 is a prime number
BaseRepresentation
bin11000110001001…
…000011100000001
31001221220020211202
4120301020130001
51322334022201
6105122150545
713203653615
oct3061103401
91057806752
10415532801
111a3614a42
12b71b2455
136811c5c8
143d289345
1526730c6b
hex18c48701

415532801 has 2 divisors, whose sum is σ = 415532802. Its totient is φ = 415532800.

The previous prime is 415532783. The next prime is 415532813. The reversal of 415532801 is 108235514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403809025 + 11723776 = 20095^2 + 3424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-415532801 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (415538801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207766400 + 207766401.

It is an arithmetic number, because the mean of its divisors is an integer number (207766401).

Almost surely, 2415532801 is an apocalyptic number.

It is an amenable number.

415532801 is a deficient number, since it is larger than the sum of its proper divisors (1).

415532801 is an equidigital number, since it uses as much as digits as its factorization.

415532801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 415532801 is about 20384.6216790992. The cubic root of 415532801 is about 746.2226674688. Note that the first 3 decimals are identical.

The spelling of 415532801 in words is "four hundred fifteen million, five hundred thirty-two thousand, eight hundred one".