| Base | Representation |
|---|---|
| bin | 1101110100010… |
| … | …0101011101000 |
| 3 | 11001001022120102 |
| 4 | 3131010223220 |
| 5 | 104313444000 |
| 6 | 5430044532 |
| 7 | 1302410120 |
| oct | 335045350 |
| 9 | 131038512 |
| 10 | 57953000 |
| 11 | 2a792a46 |
| 12 | 174a9748 |
| 13 | c011321 |
| 14 | 79a7c80 |
| 15 | 514b3d5 |
| hex | 3744ae8 |
57953000 has 128 divisors (see below), whose sum is σ = 164436480. Its totient is φ = 18662400.
The previous prime is 57952997. The next prime is 57953003. The reversal of 57953000 is 35975.
57953000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (57952997) and next prime (57953003).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57953003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118757 + ... + 119243.
It is an arithmetic number, because the mean of its divisors is an integer number (1284660).
Almost surely, 257953000 is an apocalyptic number.
57953000 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 57953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82218240).
57953000 is an abundant number, since it is smaller than the sum of its proper divisors (106483480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57953000 is a wasteful number, since it uses less digits than its factorization.
57953000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 532 (or 518 counting only the distinct ones).
The product of its (nonzero) digits is 4725, while the sum is 29.
The square root of 57953000 is about 7612.6867793178. The cubic root of 57953000 is about 386.9830776452.
Adding to 57953000 its reverse (35975), we get a palindrome (57988975).
The spelling of 57953000 in words is "fifty-seven million, nine hundred fifty-three thousand".
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