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539661312 = 21033131149
BaseRepresentation
bin100000001010101…
…001010000000000
31101121110122011000
4200022221100000
52101123130222
6125314452000
716242021411
oct4012512000
91347418130
10539661312
11257696593
12130894000
1387a60728
145195b808
153259e9ac
hex202a9400

539661312 has 176 divisors, whose sum is σ = 1621224000. Its totient is φ = 177315840.

The previous prime is 539661307. The next prime is 539661337. The reversal of 539661312 is 213166935.

539661312 is a `hidden beast` number, since 5 + 39 + 6 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×5396613122 = 582468663339122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621814 + ... + 3621962.

It is an arithmetic number, because the mean of its divisors is an integer number (9211500).

Almost surely, 2539661312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 539661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810612000).

539661312 is an abundant number, since it is smaller than the sum of its proper divisors (1081562688).

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

539661312 is a wasteful number, since it uses less digits than its factorization.

539661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 539661312 is about 23230.6115287566. The cubic root of 539661312 is about 814.1550010999.

It can be divided in two parts, 53966 and 1312, that added together give a triangular number (55278 = T332).

The spelling of 539661312 in words is "five hundred thirty-nine million, six hundred sixty-one thousand, three hundred twelve".