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416536949 is a prime number
BaseRepresentation
bin11000110100111…
…101100101110101
31002000210021021102
4120310331211311
51323113140244
6105155455445
713215335303
oct3064754565
91060707242
10416536949
111a4140414
12b75b7585
13683b168a
143d46b273
152687d54e
hex18d3d975

416536949 has 2 divisors, whose sum is σ = 416536950. Its totient is φ = 416536948.

The previous prime is 416536937. The next prime is 416536993. The reversal of 416536949 is 949635614.

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., 413919025 + 2617924 = 20345^2 + 1618^2 .

It is a cyclic number.

It is not a de Polignac number, because 416536949 - 216 = 416471413 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416536909) 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, 208268474 + 208268475.

It is an arithmetic number, because the mean of its divisors is an integer number (208268475).

Almost surely, 2416536949 is an apocalyptic number.

It is an amenable number.

416536949 is a deficient number, since it is larger than the sum of its proper divisors (1).

416536949 is an equidigital number, since it uses as much as digits as its factorization.

416536949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 699840, while the sum is 47.

The square root of 416536949 is about 20409.2368549145. The cubic root of 416536949 is about 746.8232740658.

It can be divided in two parts, 4165 and 36949, that added together give a palindrome (41114).

The spelling of 416536949 in words is "four hundred sixteen million, five hundred thirty-six thousand, nine hundred forty-nine".