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574145000 = 23541121373
BaseRepresentation
bin100010001110001…
…100000111101000
31111000100120212122
4202032030013220
52133440120000
6132545530412
720141103062
oct4216140750
91430316778
10574145000
112750a9700
12140343a08
1391c45490
1456376732
1535612085
hex2238c1e8

574145000 has 240 divisors, whose sum is σ = 1614186420. Its totient is φ = 190080000.

The previous prime is 574144981. The next prime is 574145003. The reversal of 574145000 is 541475.

It can be written as a sum of positive squares in 10 ways, for example, as 106461124 + 467683876 = 10318^2 + 21626^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (574145003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7864964 + ... + 7865036.

Almost surely, 2574145000 is an apocalyptic number.

574145000 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 574145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807093210).

574145000 is an abundant number, since it is smaller than the sum of its proper divisors (1040041420).

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

574145000 is a wasteful number, since it uses less digits than its factorization.

574145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 574145000 is about 23961.3230018712. The cubic root of 574145000 is about 831.1393845309.

Adding to 574145000 its reverse (541475), we get a palindrome (574686475).

The spelling of 574145000 in words is "five hundred seventy-four million, one hundred forty-five thousand".