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57306500 = 2253114613
BaseRepresentation
bin1101101010011…
…0110110000100
310222211110201222
43122212312010
5104132302000
65404135512
71264045226
oct332466604
9128743658
1057306500
112a391249
1217237598
13bb45c94
14787a416
15506ea85
hex36a6d84

57306500 has 24 divisors (see below), whose sum is σ = 125158488. Its totient is φ = 22922400.

The previous prime is 57306497. The next prime is 57306517. The reversal of 57306500 is 560375.

57306500 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 4 ways, for example, as 4656964 + 52649536 = 2158^2 + 7256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57306500.

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 7 ways as a sum of consecutive naturals, for example, 56807 + ... + 57806.

It is an arithmetic number, because the mean of its divisors is an integer number (5214937).

Almost surely, 257306500 is an apocalyptic number.

57306500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57306500 is an abundant number, since it is smaller than the sum of its proper divisors (67851988).

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

57306500 is a wasteful number, since it uses less digits than its factorization.

57306500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114632 (or 114620 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 57306500 is about 7570.1056795794. The cubic root of 57306500 is about 385.5386848467.

Adding to 57306500 its reverse (560375), we get a palindrome (57866875).

The spelling of 57306500 in words is "fifty-seven million, three hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 114613 229226 458452 573065 1146130 2292260 2865325 5730650 11461300 14326625 28653250 57306500