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57754125 = 32531113359
BaseRepresentation
bin1101110001010…
…0001000001101
311000200012202200
43130110020031
5104241113000
65421512113
71300621242
oct334241015
9130605680
1057754125
112a667590
1217412639
13bc71950
1479555c9
15510c500
hex371420d

57754125 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 25776000.

The previous prime is 57754121. The next prime is 57754141. The reversal of 57754125 is 52145775.

It is not a de Polignac number, because 57754125 - 22 = 57754121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57754125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57754121) 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 95 ways as a sum of consecutive naturals, for example, 160696 + ... + 161054.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 257754125 is an apocalyptic number.

57754125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57754125 is an abundant number, since it is smaller than the sum of its proper divisors (64899315).

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

57754125 is a wasteful number, since it uses less digits than its factorization.

57754125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 57754125 is about 7599.6134770132. The cubic root of 57754125 is about 386.5399055187.

The spelling of 57754125 in words is "fifty-seven million, seven hundred fifty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 125 143 165 195 225 275 325 359 375 429 495 585 715 825 975 1077 1125 1287 1375 1625 1795 2145 2475 2925 3231 3575 3949 4125 4667 4875 5385 6435 8975 10725 11847 12375 14001 14625 16155 17875 19745 23335 26925 32175 35541 42003 44875 51337 53625 59235 70005 80775 98725 116675 134625 154011 160875 177705 210015 256685 296175 350025 403875 462033 493625 583375 770055 888525 1050075 1283425 1480875 1750125 2310165 3850275 4442625 5250375 6417125 11550825 19251375 57754125