Search a number
-
+
53975840 = 255337349
BaseRepresentation
bin1100110111100…
…1101100100000
310202120020221012
43031321230200
5102304211330
65204520052
71223533652
oct315715440
9122506835
1053975840
1128516936
12160b0028
13b24ac89
1472506d2
154b12c95
hex3379b20

53975840 has 24 divisors (see below), whose sum is σ = 127518300. Its totient is φ = 21590272.

The previous prime is 53975837. The next prime is 53975843. The reversal of 53975840 is 4857935.

53975840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53975837) and next prime (53975843).

It can be written as a sum of positive squares in 2 ways, for example, as 52243984 + 1731856 = 7228^2 + 1316^2 .

It is not an unprimeable number, because it can be changed into a prime (53975843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168515 + ... + 168834.

Almost surely, 253975840 is an apocalyptic number.

It is an amenable number.

53975840 is an abundant number, since it is smaller than the sum of its proper divisors (73542460).

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

53975840 is a wasteful number, since it uses less digits than its factorization.

53975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337364 (or 337356 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 53975840 is about 7346.8251646545. The cubic root of 53975840 is about 377.9199367586.

The spelling of 53975840 in words is "fifty-three million, nine hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337349 674698 1349396 1686745 2698792 3373490 5397584 6746980 10795168 13493960 26987920 53975840