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505670256 = 243371319677
BaseRepresentation
bin11110001000111…
…110101001110000
31022020111201012000
4132020332221300
52013422422011
6122102134000
715350061210
oct3610765160
91266451160
10505670256
1123a48a603
12121421300
13809bbc90
144b230240
152e5d8356
hex1e23ea70

505670256 has 320 divisors, whose sum is σ = 1883212800. Its totient is φ = 126157824.

The previous prime is 505670251. The next prime is 505670267. The reversal of 505670256 is 652076505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505670256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505670251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746590 + ... + 747266.

It is an arithmetic number, because the mean of its divisors is an integer number (5885040).

Almost surely, 2505670256 is an apocalyptic number.

505670256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505670256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941606400).

505670256 is an abundant number, since it is smaller than the sum of its proper divisors (1377542544).

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

505670256 is a wasteful number, since it uses less digits than its factorization.

505670256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 505670256 is about 22487.1131095123. The cubic root of 505670256 is about 796.6895786162.

It can be divided in two parts, 505 and 670256, that added together give a square (670761 = 8192).

The spelling of 505670256 in words is "five hundred five million, six hundred seventy thousand, two hundred fifty-six".