Search a number
-
+
57525300 = 223252723397
BaseRepresentation
bin1101101101110…
…0010000110100
311000020120212200
43123130100310
5104211302200
65412544500
71265646150
oct333342064
9130216780
1057525300
112a520678
1217322130
13bbc1751
1478d6060
1550b4800
hex36dc434

57525300 has 216 divisors, whose sum is σ = 215569536. Its totient is φ = 12545280.

The previous prime is 57525287. The next prime is 57525311. The reversal of 57525300 is 352575.

57525300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 144702 + ... + 145098.

Almost surely, 257525300 is an apocalyptic number.

57525300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107784768).

57525300 is an abundant number, since it is smaller than the sum of its proper divisors (158044236).

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

57525300 is a wasteful number, since it uses less digits than its factorization.

57525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57525300 is about 7584.5434931840. The cubic root of 57525300 is about 386.0287324134.

Adding to 57525300 its reverse (352575), we get a palindrome (57877875).

The spelling of 57525300 in words is "fifty-seven million, five hundred twenty-five thousand, three hundred".