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505867674 = 231317478117
BaseRepresentation
bin11110001001101…
…110110110011010
31022020212201222210
4132021232312122
52014000231144
6122110255550
715351542604
oct3611566632
91266781883
10505867674
1123a604964
121214b75b6
1380a5aab0
144b282174
152e626ab9
hex1e26ed9a

505867674 has 64 divisors (see below), whose sum is σ = 1178343936. Its totient is φ = 143361024.

The previous prime is 505867633. The next prime is 505867679. The reversal of 505867674 is 476768505.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505867679) 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 in 31 ways as a sum of consecutive naturals, for example, 58264 + ... + 66380.

It is an arithmetic number, because the mean of its divisors is an integer number (18411624).

Almost surely, 2505867674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505867674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589171968).

505867674 is an abundant number, since it is smaller than the sum of its proper divisors (672476262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505867674 is a wasteful number, since it uses less digits than its factorization.

505867674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 505867674 is about 22491.5022619655. The cubic root of 505867674 is about 796.7932432724.

The spelling of 505867674 in words is "five hundred five million, eight hundred sixty-seven thousand, six hundred seventy-four".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 102 141 221 282 442 611 663 799 1222 1326 1598 1833 2397 3666 4794 8117 10387 16234 20774 24351 31161 48702 62322 105521 137989 211042 275978 316563 381499 413967 633126 762998 827934 1144497 1793857 2288994 3587714 4959487 5381571 6485483 9918974 10763142 12970966 14878461 19456449 29756922 38912898 84311279 168622558 252933837 505867674