Search a number
-
+
53494912 = 271812309
BaseRepresentation
bin1100110000010…
…0010010000000
310201122211020001
43030010102000
5102143314122
65150325344
71216461562
oct314042200
9121584201
1053494912
1128218579
1215ab9854
13b1100c3
147167332
154a6a527
hex3304480

53494912 has 32 divisors (see below), whose sum is σ = 107207100. Its totient is φ = 26588160.

The previous prime is 53494897. The next prime is 53494913. The reversal of 53494912 is 21949435.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 1308736 = 7224^2 + 1144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53494913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22014 + ... + 24322.

Almost surely, 253494912 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 53494912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53603550).

53494912 is an abundant number, since it is smaller than the sum of its proper divisors (53712188).

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

53494912 is a wasteful number, since it uses less digits than its factorization.

53494912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2492 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 53494912 is about 7314.0216023744. The cubic root of 53494912 is about 376.7941566853.

The spelling of 53494912 in words is "fifty-three million, four hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2309 2896 4618 5792 9236 11584 18472 23168 36944 73888 147776 295552 417929 835858 1671716 3343432 6686864 13373728 26747456 53494912