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539431400 = 23524336229
BaseRepresentation
bin100000001001110…
…001000111101000
31101121000221202202
4200021301013220
52101043301100
6125305515332
716240043204
oct4011610750
91347027682
10539431400
11257549882
121307a2b48
13879acba1
14518dbb04
15325567d5
hex202711e8

539431400 has 48 divisors (see below), whose sum is σ = 1257276300. Its totient is φ = 215239680.

The previous prime is 539431393. The next prime is 539431421. The reversal of 539431400 is 4134935.

It can be written as a sum of positive squares in 6 ways, for example, as 91431844 + 447999556 = 9562^2 + 21166^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83486 + ... + 89714.

Almost surely, 2539431400 is an apocalyptic number.

539431400 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 539431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628638150).

539431400 is an abundant number, since it is smaller than the sum of its proper divisors (717844900).

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

539431400 is a wasteful number, since it uses less digits than its factorization.

539431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 539431400 is about 23225.6625309161. The cubic root of 539431400 is about 814.0393664795.

The spelling of 539431400 in words is "five hundred thirty-nine million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 6229 8660 10825 12458 17320 21650 24916 31145 43300 49832 62290 86600 124580 155725 249160 311450 622900 1245800 2697157 5394314 10788628 13485785 21577256 26971570 53943140 67428925 107886280 134857850 269715700 539431400