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57052500 = 223547607
BaseRepresentation
bin1101100110100…
…0110101010100
310222100120022120
43121220311110
5104101140000
65354455540
71261636551
oct331506524
9128316276
1057052500
112a22842a
12171345b0
13ba8749b
147811a28
15501e6a0
hex3668d54

57052500 has 60 divisors (see below), whose sum is σ = 166371744. Its totient is φ = 15212000.

The previous prime is 57052487. The next prime is 57052519. The reversal of 57052500 is 525075.

57052500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 3697 + ... + 11303.

Almost surely, 257052500 is an apocalyptic number.

57052500 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 57052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83185872).

57052500 is an abundant number, since it is smaller than the sum of its proper divisors (109319244).

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

57052500 is a wasteful number, since it uses less digits than its factorization.

57052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 57052500 is about 7553.3105324751. The cubic root of 57052500 is about 384.9682326068.

Adding to 57052500 its reverse (525075), we get a palindrome (57577575).

The spelling of 57052500 in words is "fifty-seven million, fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 7500 7607 15214 22821 30428 38035 45642 76070 91284 114105 152140 190175 228210 380350 456420 570525 760700 950875 1141050 1901750 2282100 2852625 3803500 4754375 5705250 9508750 11410500 14263125 19017500 28526250 57052500