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57256875 = 35541329
BaseRepresentation
bin1101101001101…
…0101110101011
310222201221200000
43122122232223
5104124210000
65403114043
71263450444
oct332325653
9128657600
1057256875
112a357a35
1217212923
13bb29510
1478662cb
155060000
hex369abab

57256875 has 120 divisors (see below), whose sum is σ = 119399280. Its totient is φ = 27216000.

The previous prime is 57256853. The next prime is 57256921. The reversal of 57256875 is 57865275.

57256875 is a `hidden beast` number, since 572 + 5 + 6 + 8 + 75 = 666.

It is not a de Polignac number, because 57256875 - 210 = 57255851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (588000) is a multiple of the sum of its prime divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 57256875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1974361 + ... + 1974389.

It is an arithmetic number, because the mean of its divisors is an integer number (994994).

It is a vampire number, since it can be written as 65258775 (with its own digits).

Almost surely, 257256875 is an apocalyptic number.

57256875 is an abundant number, since it is smaller than the sum of its proper divisors (62142405).

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

57256875 is an equidigital number, since it uses as much as digits as its factorization.

57256875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 57256875 is about 7566.8272743601. The cubic root of 57256875 is about 385.4273659882.

Adding to 57256875 its product of digits (588000), we get a palindrome (57844875).

Subtracting 57256875 from its reverse (57865275), we obtain a square (608400 = 7802).

The spelling of 57256875 in words is "fifty-seven million, two hundred fifty-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 29 39 45 65 75 81 87 117 125 135 145 195 225 243 261 325 351 375 377 405 435 585 625 675 725 783 975 1053 1125 1131 1215 1305 1625 1755 1875 1885 2025 2175 2349 2925 3159 3375 3393 3625 3915 4875 5265 5625 5655 6075 6525 7047 8125 8775 9425 10125 10179 10875 11745 14625 15795 16875 16965 18125 19575 24375 26325 28275 30375 30537 32625 35235 43875 47125 50625 50895 54375 58725 73125 78975 84825 91611 97875 131625 141375 151875 152685 163125 176175 219375 235625 254475 293625 394875 424125 458055 489375 658125 706875 763425 880875 1272375 1468125 1974375 2120625 2290275 3817125 4404375 6361875 11451375 19085625 57256875