Search a number
-
+
53413520 = 2451494481
BaseRepresentation
bin1100101111000…
…0011010010000
310201111200120112
43023300122100
5102133213040
65144500452
71216002356
oct313603220
9121450515
1053413520
1128172406
1215a7a728
13b0b2044
1471457d6
154a51365
hex32f0690

53413520 has 40 divisors (see below), whose sum is σ = 125047800. Its totient is φ = 21217280.

The previous prime is 53413517. The next prime is 53413531. The reversal of 53413520 is 2531435.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 50013184 = 1844^2 + 7072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9680 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (3126195).

Almost surely, 253413520 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 53413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62523900).

53413520 is an abundant number, since it is smaller than the sum of its proper divisors (71634280).

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

53413520 is a wasteful number, since it uses less digits than its factorization.

53413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53413520 is about 7308.4553771642. The cubic root of 53413520 is about 376.6029634440.

Adding to 53413520 its reverse (2531435), we get a palindrome (55944955).

The spelling of 53413520 in words is "fifty-three million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 4481 5960 8962 11920 17924 22405 35848 44810 71696 89620 179240 358480 667669 1335338 2670676 3338345 5341352 6676690 10682704 13353380 26706760 53413520