Search a number
-
+
406747261 is a prime number
BaseRepresentation
bin11000001111100…
…111100001111101
31001100100220100101
4120033213201331
51313111403021
6104210001101
713036203034
oct3017474175
91040326311
10406747261
11199664268
12b4276191
136636476b
143c03d71b
1525a97a91
hex183e787d

406747261 has 2 divisors, whose sum is σ = 406747262. Its totient is φ = 406747260.

The previous prime is 406747247. The next prime is 406747267. The reversal of 406747261 is 162747604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275759236 + 130988025 = 16606^2 + 11445^2 .

It is a cyclic number.

It is not a de Polignac number, because 406747261 - 215 = 406714493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406747261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406747267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203373630 + 203373631.

It is an arithmetic number, because the mean of its divisors is an integer number (203373631).

Almost surely, 2406747261 is an apocalyptic number.

It is an amenable number.

406747261 is a deficient number, since it is larger than the sum of its proper divisors (1).

406747261 is an equidigital number, since it uses as much as digits as its factorization.

406747261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 406747261 is about 20167.9761255313. The cubic root of 406747261 is about 740.9260751765.

It can be divided in two parts, 40 and 6747261, that added together give a triangular number (6747301 = T3673).

The spelling of 406747261 in words is "four hundred six million, seven hundred forty-seven thousand, two hundred sixty-one".