Search a number
-
+
531568768 = 2713730313
BaseRepresentation
bin11111101011110…
…001100010000000
31101001020111021011
4133223301202000
52042040200033
6124425210304
716113155113
oct3753614200
91331214234
10531568768
11253069535
1212a030994
1386189143
145085257a
1531a01ccd
hex1faf1880

531568768 has 32 divisors (see below), whose sum is σ = 1066749660. Its totient is φ = 263835648.

The previous prime is 531568729. The next prime is 531568783. The reversal of 531568768 is 867865135.

It can be written as a sum of positive squares in 2 ways, for example, as 490711104 + 40857664 = 22152^2 + 6392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×5315687682 = 565130710226075648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2380 + ... + 32692.

Almost surely, 2531568768 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 531568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533374830).

531568768 is an abundant number, since it is smaller than the sum of its proper divisors (535180892).

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

531568768 is a wasteful number, since it uses less digits than its factorization.

531568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30464 (or 30452 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The square root of 531568768 is about 23055.7751550452. The cubic root of 531568768 is about 810.0649076676.

The spelling of 531568768 in words is "five hundred thirty-one million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 30313 60626 121252 242504 485008 970016 1940032 3880064 4152881 8305762 16611524 33223048 66446096 132892192 265784384 531568768