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506236405 = 5372736413
BaseRepresentation
bin11110001011001…
…000110111110101
31022021120110210111
4132023020313311
52014044031110
6122122223021
715354636613
oct3613106765
91267513714
10506236405
1123a8369a4
12121654a71
1380b5988c
144b33a6b3
152e69ae8a
hex1e2c8df5

506236405 has 8 divisors (see below), whose sum is σ = 623902392. Its totient is φ = 394043328.

The previous prime is 506236373. The next prime is 506236433. The reversal of 506236405 is 504632605.

It can be written as a sum of positive squares in 4 ways, for example, as 259306609 + 246929796 = 16103^2 + 15714^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506236405 - 25 = 506236373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 1368022 + ... + 1368391.

It is an arithmetic number, because the mean of its divisors is an integer number (77987799).

Almost surely, 2506236405 is an apocalyptic number.

It is an amenable number.

506236405 is a deficient number, since it is larger than the sum of its proper divisors (117665987).

506236405 is a wasteful number, since it uses less digits than its factorization.

506236405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736455.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 506236405 is about 22499.6978868606. The cubic root of 506236405 is about 796.9867925795.

The spelling of 506236405 in words is "five hundred six million, two hundred thirty-six thousand, four hundred five".

Divisors: 1 5 37 185 2736413 13682065 101247281 506236405