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538808500 = 22531736229
BaseRepresentation
bin100000000111011…
…001000010110100
31101112212022022101
4200013121002310
52100413333000
6125244311444
716231540156
oct4007310264
91345768271
10538808500
1125716388a
12130542584
13878224c9
14517b8ad6
1532481e6a
hex201d90b4

538808500 has 48 divisors (see below), whose sum is σ = 1183749840. Its totient is φ = 214243200.

The previous prime is 538808471. The next prime is 538808503. The reversal of 538808500 is 5808835.

It can be written as a sum of positive squares in 8 ways, for example, as 67831696 + 470976804 = 8236^2 + 21702^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 538808500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538808503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83386 + ... + 89614.

It is an arithmetic number, because the mean of its divisors is an integer number (24661455).

Almost surely, 2538808500 is an apocalyptic number.

538808500 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 538808500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591874920).

538808500 is an abundant number, since it is smaller than the sum of its proper divisors (644941340).

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

538808500 is a wasteful number, since it uses less digits than its factorization.

538808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 538808500 is about 23212.2489216362. The cubic root of 538808500 is about 813.7259127071.

The spelling of 538808500 in words is "five hundred thirty-eight million, eight hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 173 250 346 500 692 865 1730 3460 4325 6229 8650 12458 17300 21625 24916 31145 43250 62290 86500 124580 155725 311450 622900 778625 1077617 1557250 2155234 3114500 4310468 5388085 10776170 21552340 26940425 53880850 107761700 134702125 269404250 538808500