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414006793 is a prime number
BaseRepresentation
bin11000101011010…
…011111000001001
31001212000201112221
4120223103320021
51321441204133
6105025334041
713154666614
oct3053237011
91055021487
10414006793
111a2772482
12b6797321
1367a06b45
143cdad17b
152652da2d
hex18ad3e09

414006793 has 2 divisors, whose sum is σ = 414006794. Its totient is φ = 414006792.

The previous prime is 414006787. The next prime is 414006823. The reversal of 414006793 is 397600414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409131529 + 4875264 = 20227^2 + 2208^2 .

It is a cyclic number.

It is not a de Polignac number, because 414006793 - 213 = 413998601 is a prime.

It is not a weakly prime, because it can be changed into another prime (414006293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207003396 + 207003397.

It is an arithmetic number, because the mean of its divisors is an integer number (207003397).

Almost surely, 2414006793 is an apocalyptic number.

It is an amenable number.

414006793 is a deficient number, since it is larger than the sum of its proper divisors (1).

414006793 is an equidigital number, since it uses as much as digits as its factorization.

414006793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 414006793 is about 20347.1568775591. The cubic root of 414006793 is about 745.3080677186.

The spelling of 414006793 in words is "four hundred fourteen million, six thousand, seven hundred ninety-three".