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57002500 = 22541512
BaseRepresentation
bin1101100101110…
…0101000000100
310222021000201201
43121130220010
5104043040000
65353432244
71261341022
oct331345004
9128230651
1057002500
112a1a3905
121710b684
13ba6a7b9
1477db712
15500e96a
hex365ca04

57002500 has 45 divisors (see below), whose sum is σ = 125484051. Its totient is φ = 22650000.

The previous prime is 57002443. The next prime is 57002501. The reversal of 57002500 is 520075.

It is a happy number.

The square root of 57002500 is 7550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4468996 + 52533504 = 2114^2 + 7248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57002501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 377425 + ... + 377575.

Almost surely, 257002500 is an apocalyptic number.

57002500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57002500 is the 7550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57002500

57002500 is an abundant number, since it is smaller than the sum of its proper divisors (68481551).

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

57002500 is an equidigital number, since it uses as much as digits as its factorization.

57002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The cubic root of 57002500 is about 384.8557395091.

Adding to 57002500 its reverse (520075), we get a palindrome (57522575).

The spelling of 57002500 in words is "fifty-seven million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 302 500 604 625 755 1250 1510 2500 3020 3775 7550 15100 18875 22801 37750 45602 75500 91204 94375 114005 188750 228010 377500 456020 570025 1140050 2280100 2850125 5700250 11400500 14250625 28501250 57002500