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57258500 = 22531323383
BaseRepresentation
bin1101101001101…
…1001000000100
310222202000220012
43122123020010
5104124233000
65403125352
71263455255
oct332331004
9128660805
1057258500
112a359182
1217213858
13bb2a190
147866b2c
155060735
hex369b204

57258500 has 96 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 20169600.

The previous prime is 57258479. The next prime is 57258517. The reversal of 57258500 is 585275.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 149309 + ... + 149691.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 257258500 is an apocalyptic number.

57258500 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 57258500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

57258500 is an abundant number, since it is smaller than the sum of its proper divisors (83635708).

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

57258500 is a wasteful number, since it uses less digits than its factorization.

57258500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 57258500 is about 7566.9346501737. The cubic root of 57258500 is about 385.4310122085.

The spelling of 57258500 in words is "fifty-seven million, two hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 125 130 230 250 260 299 325 383 460 500 575 598 650 766 1150 1196 1300 1495 1532 1625 1915 2300 2875 2990 3250 3830 4979 5750 5980 6500 7475 7660 8809 9575 9958 11500 14950 17618 19150 19916 24895 29900 35236 37375 38300 44045 47875 49790 74750 88090 95750 99580 114517 124475 149500 176180 191500 220225 229034 248950 440450 458068 497900 572585 622375 880900 1101125 1145170 1244750 2202250 2290340 2489500 2862925 4404500 5725850 11451700 14314625 28629250 57258500