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801437401 is a prime number
BaseRepresentation
bin101111110001001…
…111011011011001
32001212001020102201
4233301033123121
53120131444101
6211305330201
725601051122
oct5761173331
92055036381
10801437401
11381432866
121a4496961
13ca06721b
1478621049
154a55ce01
hex2fc4f6d9

801437401 has 2 divisors, whose sum is σ = 801437402. Its totient is φ = 801437400.

The previous prime is 801437393. The next prime is 801437407. The reversal of 801437401 is 104734108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761760000 + 39677401 = 27600^2 + 6299^2 .

It is a cyclic number.

It is not a de Polignac number, because 801437401 - 23 = 801437393 is a prime.

It is equal to p41216482 and since 801437401 and 41216482 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 801437401.

It is not a weakly prime, because it can be changed into another prime (801437407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400718700 + 400718701.

It is an arithmetic number, because the mean of its divisors is an integer number (400718701).

Almost surely, 2801437401 is an apocalyptic number.

It is an amenable number.

801437401 is a deficient number, since it is larger than the sum of its proper divisors (1).

801437401 is an equidigital number, since it uses as much as digits as its factorization.

801437401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 801437401 is about 28309.6697437466. The cubic root of 801437401 is about 928.8734194347.

The spelling of 801437401 in words is "eight hundred one million, four hundred thirty-seven thousand, four hundred one".