Search a number
-
+
268044048 = 24321861417
BaseRepresentation
bin11111111101000…
…00011100010000
3200200101001022100
433332200130100
51022104402143
642333040400
76433223346
oct1776403420
9620331270
10268044048
11128338508
1275926100
13436bc75c
1427855996
15187ea6d3
hexffa0710

268044048 has 30 divisors (see below), whose sum is σ = 750151454. Its totient is φ = 89347968.

The previous prime is 268044043. The next prime is 268044079. The reversal of 268044048 is 840440862.

268044048 is nontrivially palindromic in base 7.

268044048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 262051344 + 5992704 = 16188^2 + 2448^2 .

It is a super-2 number, since 2×2680440482 = 143695223336452608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268044043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 930565 + ... + 930852.

Almost surely, 2268044048 is an apocalyptic number.

It is an amenable number.

268044048 is an abundant number, since it is smaller than the sum of its proper divisors (482107406).

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

268044048 is a wasteful number, since it uses less digits than its factorization.

268044048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861431 (or 1861422 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 268044048 is about 16372.0508183917. The cubic root of 268044048 is about 644.7658930458.

The spelling of 268044048 in words is "two hundred sixty-eight million, forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1861417 3722834 5584251 7445668 11168502 14891336 16752753 22337004 29782672 33505506 44674008 67011012 89348016 134022024 268044048