Search a number
-
+
53242080 = 2535110921
BaseRepresentation
bin1100101100011…
…0100011100000
310201011222101220
43023012203200
5102112221310
65141055040
71214356503
oct313064340
9121158356
1053242080
1128065621
12159b7480
13b051cb8
1470dd13a
154a1a670
hex32c68e0

53242080 has 48 divisors (see below), whose sum is σ = 167714064. Its totient is φ = 14197760.

The previous prime is 53242073. The next prime is 53242121. The reversal of 53242080 is 8024235.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53242080.

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, 54981 + ... + 55940.

It is an arithmetic number, because the mean of its divisors is an integer number (3494043).

Almost surely, 253242080 is an apocalyptic number.

It is an amenable number.

53242080 is an abundant number, since it is smaller than the sum of its proper divisors (114471984).

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

53242080 is a wasteful number, since it uses less digits than its factorization.

53242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110939 (or 110931 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53242080 is about 7296.7170700254. The cubic root of 53242080 is about 376.1996073097.

The spelling of 53242080 in words is "fifty-three million, two hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 110921 221842 332763 443684 554605 665526 887368 1109210 1331052 1663815 1774736 2218420 2662104 3327630 3549472 4436840 5324208 6655260 8873680 10648416 13310520 17747360 26621040 53242080