Search a number
-
+
505240256 = 2683227419
BaseRepresentation
bin11110000111010…
…101101011000000
31022012200212100002
4132013111223000
52013320142011
6122045015132
715343320443
oct3607255300
91265625302
10505240256
1123a216534
121212544a8
138089b341
144b15b65a
152e550c3b
hex1e1d5ac0

505240256 has 56 divisors (see below), whose sum is σ = 1021567680. Its totient is φ = 247884032.

The previous prime is 505240213. The next prime is 505240261. The reversal of 505240256 is 652042505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205615 + ... + 1206033.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2505240256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

505240256 is an abundant number, since it is smaller than the sum of its proper divisors (516327424).

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

505240256 is a wasteful number, since it uses less digits than its factorization.

505240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 505240256 is about 22477.5500444332. The cubic root of 505240256 is about 796.4636911829.

The spelling of 505240256 in words is "five hundred five million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 166 227 332 419 454 664 838 908 1328 1676 1816 2656 3352 3632 5312 6704 7264 13408 14528 18841 26816 34777 37682 69554 75364 95113 139108 150728 190226 278216 301456 380452 556432 602912 760904 1112864 1205824 1521808 2225728 3043616 6087232 7894379 15788758 31577516 63155032 126310064 252620128 505240256