Search a number
-
+
54141952 = 210371429
BaseRepresentation
bin1100111010001…
…0010000000000
310202212200210111
43032202100000
5102330020302
65212241104
71225125154
oct316422000
9122780714
1054141952
112861a717
1216170194
13b2a8777
147295064
154b470d7
hex33a2400

54141952 has 44 divisors (see below), whose sum is σ = 111233980. Its totient is φ = 26320896.

The previous prime is 54141949. The next prime is 54141961. The reversal of 54141952 is 25914145.

It can be written as a sum of positive squares in 2 ways, for example, as 25240576 + 28901376 = 5024^2 + 5376^2 .

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, 37174 + ... + 38602.

It is an arithmetic number, because the mean of its divisors is an integer number (2528045).

Almost surely, 254141952 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 54141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55616990).

54141952 is an abundant number, since it is smaller than the sum of its proper divisors (57092028).

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

54141952 is a wasteful number, since it uses less digits than its factorization.

54141952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1468 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 54141952 is about 7358.1214994046. The cubic root of 54141952 is about 378.3072257575.

The spelling of 54141952 in words is "fifty-four million, one hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1429 2368 2858 4736 5716 9472 11432 18944 22864 37888 45728 52873 91456 105746 182912 211492 365824 422984 731648 845968 1463296 1691936 3383872 6767744 13535488 27070976 54141952