Search a number
-
+
57014800 = 2452142537
BaseRepresentation
bin1101100101111…
…1101000010000
310222021122121021
43121133220100
5104043433200
65354005224
71261421623
oct331375020
9128248537
1057014800
112a202077
1217116814
13ba7328b
147801dba
15501341a
hex365fa10

57014800 has 30 divisors (see below), whose sum is σ = 136979018. Its totient is φ = 22805760.

The previous prime is 57014779. The next prime is 57014813. The reversal of 57014800 is 841075.

57014800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3549456 + 53465344 = 1884^2 + 7312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 70869 + ... + 71668.

Almost surely, 257014800 is an apocalyptic number.

57014800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57014800 is an abundant number, since it is smaller than the sum of its proper divisors (79964218).

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

57014800 is a wasteful number, since it uses less digits than its factorization.

57014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142555 (or 142544 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 57014800 is about 7550.8145255992. The cubic root of 57014800 is about 384.8834189100.

Adding to 57014800 its reverse (841075), we get a palindrome (57855875).

It can be divided in two parts, 5701 and 4800, that added together give a palindrome (10501).

The spelling of 57014800 in words is "fifty-seven million, fourteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 142537 285074 570148 712685 1140296 1425370 2280592 2850740 3563425 5701480 7126850 11402960 14253700 28507400 57014800