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57995000 = 235471657
BaseRepresentation
bin1101110100111…
…0111011111000
311001010110011222
43131032323320
5104321320000
65431011212
71302643430
oct335167370
9131113158
1057995000
112a811558
1217509b08
13c02748b
1479b92c0
155158a85
hex374eef8

57995000 has 80 divisors (see below), whose sum is σ = 155387760. Its totient is φ = 19872000.

The previous prime is 57994997. The next prime is 57995051. The reversal of 57995000 is 59975.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34172 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (1942347).

Almost surely, 257995000 is an apocalyptic number.

57995000 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 57995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77693880).

57995000 is an abundant number, since it is smaller than the sum of its proper divisors (97392760).

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

57995000 is a wasteful number, since it uses less digits than its factorization.

57995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 57995000 is about 7615.4448327068. Note that the first 3 decimals coincide. The cubic root of 57995000 is about 387.0765405344.

The spelling of 57995000 in words is "fifty-seven million, nine hundred ninety-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1657 1750 2500 3314 3500 4375 5000 6628 7000 8285 8750 11599 13256 16570 17500 23198 33140 35000 41425 46396 57995 66280 82850 92792 115990 165700 207125 231980 289975 331400 414250 463960 579950 828500 1035625 1159900 1449875 1657000 2071250 2319800 2899750 4142500 5799500 7249375 8285000 11599000 14498750 28997500 57995000