Search a number
-
+
406008901 is a prime number
BaseRepresentation
bin11000001100110…
…011010001000101
31001021222101111201
4120030303101011
51312414241101
6104142102501
713030006264
oct3014632105
91037871451
10406008901
111991aa551
12b3b7aa31
136616666c
143bcca5db
152599de01
hex18333445

406008901 has 2 divisors, whose sum is σ = 406008902. Its totient is φ = 406008900.

The previous prime is 406008877. The next prime is 406008907. The reversal of 406008901 is 109800604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324540225 + 81468676 = 18015^2 + 9026^2 .

It is a cyclic number.

It is not a de Polignac number, because 406008901 - 29 = 406008389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406008901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406008907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203004450 + 203004451.

It is an arithmetic number, because the mean of its divisors is an integer number (203004451).

Almost surely, 2406008901 is an apocalyptic number.

It is an amenable number.

406008901 is a deficient number, since it is larger than the sum of its proper divisors (1).

406008901 is an equidigital number, since it uses as much as digits as its factorization.

406008901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 406008901 is about 20149.6625530057. The cubic root of 406008901 is about 740.4774742950.

The spelling of 406008901 in words is "four hundred six million, eight thousand, nine hundred one".