Search a number
-
+
53360512 = 271937593
BaseRepresentation
bin1100101110001…
…1011110000000
310201101222212021
43023203132000
5102130014022
65143411224
71215362002
oct313433600
9121358767
1053360512
11281365a7
1215a53b14
13b093b8a
147130372
154a407c7
hex32e3780

53360512 has 64 divisors (see below), whose sum is σ = 115117200. Its totient is φ = 24551424.

The previous prime is 53360509. The next prime is 53360513. The reversal of 53360512 is 21506335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53360513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89688 + ... + 90280.

Almost surely, 253360512 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 53360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558600).

53360512 is an abundant number, since it is smaller than the sum of its proper divisors (61756688).

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

53360512 is a wasteful number, since it uses less digits than its factorization.

53360512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 53360512 is about 7304.8279924992. The cubic root of 53360512 is about 376.4783409555.

Adding to 53360512 its reverse (21506335), we get a palindrome (74866847).

The spelling of 53360512 in words is "fifty-three million, three hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 296 304 592 593 608 703 1184 1186 1216 1406 2368 2372 2432 2812 4736 4744 5624 9488 11248 11267 18976 21941 22496 22534 37952 43882 44992 45068 75904 87764 89984 90136 175528 180272 351056 360544 416879 702112 721088 833758 1404224 1442176 1667516 2808448 3335032 6670064 13340128 26680256 53360512