Search a number
-
+
54088960 = 28542257
BaseRepresentation
bin1100111001010…
…1010100000000
310202210000002211
43032111110000
5102321321320
65211151504
71224514522
oct316252400
9122700084
1054088960
1128593922
1216145594
13b28a603
14727da12
154b3655a
hex3395500

54088960 has 36 divisors (see below), whose sum is σ = 129563028. Its totient is φ = 21635072.

The previous prime is 54088933. The next prime is 54088997. The reversal of 54088960 is 6988045.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 30118144 = 4896^2 + 5488^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19849 + ... + 22408.

It is an arithmetic number, because the mean of its divisors is an integer number (3598973).

Almost surely, 254088960 is an apocalyptic number.

It is an amenable number.

54088960 is an abundant number, since it is smaller than the sum of its proper divisors (75474068).

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

54088960 is an equidigital number, since it uses as much as digits as its factorization.

54088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42278 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 54088960 is about 7354.5196987975. The cubic root of 54088960 is about 378.1837614209.

The spelling of 54088960 in words is "fifty-four million, eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 42257 84514 169028 211285 338056 422570 676112 845140 1352224 1690280 2704448 3380560 5408896 6761120 10817792 13522240 27044480 54088960