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575141400 = 2332521967251
BaseRepresentation
bin100010010001111…
…111011000011000
31111002020012200100
4202101333120120
52134214011100
6133023135400
720152423041
oct4221773030
91432205610
10575141400
1127571a279
12140744560
1392203b72
14565558c8
153575c400
hex2247f618

575141400 has 288 divisors, whose sum is σ = 2071742400. Its totient is φ = 142560000.

The previous prime is 575141389. The next prime is 575141423. The reversal of 575141400 is 4141575.

It is a happy number.

575141400 is a `hidden beast` number, since 5 + 7 + 514 + 140 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2291275 + ... + 2291525.

It is an arithmetic number, because the mean of its divisors is an integer number (7193550).

Almost surely, 2575141400 is an apocalyptic number.

575141400 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 575141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

575141400 is an abundant number, since it is smaller than the sum of its proper divisors (1496601000).

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

575141400 is a wasteful number, since it uses less digits than its factorization.

575141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 575141400 is about 23982.1058291385. The cubic root of 575141400 is about 831.6199069742.

Adding to 575141400 its reverse (4141575), we get a palindrome (579282975).

The spelling of 575141400 in words is "five hundred seventy-five million, one hundred forty-one thousand, four hundred".