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57997000 = 235359983
BaseRepresentation
bin1101110100111…
…1011011001000
311001010112221001
43131033123020
5104321401000
65431024344
71302652315
oct335173310
9131115831
1057997000
112a813006
121750b0b4
13c028369
1479b9d0c
15515946a
hex374f6c8

57997000 has 64 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 22782400.

The previous prime is 57996971. The next prime is 57997021. The reversal of 57997000 is 79975.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58509 + ... + 59491.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 257997000 is an apocalyptic number.

57997000 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 57997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69076800).

57997000 is an abundant number, since it is smaller than the sum of its proper divisors (80156600).

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

57997000 is a wasteful number, since it uses less digits than its factorization.

57997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 37.

The square root of 57997000 is about 7615.5761436677. The cubic root of 57997000 is about 387.0809900225.

It can be divided in two parts, 579 and 97000, that added together give a palindrome (97579).

The spelling of 57997000 in words is "fifty-seven million, nine hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 983 1000 1180 1475 1966 2360 2950 3932 4915 5900 7375 7864 9830 11800 14750 19660 24575 29500 39320 49150 57997 59000 98300 115994 122875 196600 231988 245750 289985 463976 491500 579970 983000 1159940 1449925 2319880 2899850 5799700 7249625 11599400 14499250 28998500 57997000