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537286464 = 263211213593
BaseRepresentation
bin100000000001100…
…101011101000000
31101102222222110200
4200001211131000
52100021131324
6125151525200
716212600561
oct4001453500
91342888420
10537286464
11256314300
1212bb29800
138740b7b0
1451500168
1532280ec9
hex20065740

537286464 has 252 divisors, whose sum is σ = 1826052228. Its totient is φ = 150036480.

The previous prime is 537286459. The next prime is 537286481. The reversal of 537286464 is 464682735.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 341510400 = 13992^2 + 18480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905752 + ... + 906344.

It is an arithmetic number, because the mean of its divisors is an integer number (7246239).

Almost surely, 2537286464 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 537286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913026114).

537286464 is an abundant number, since it is smaller than the sum of its proper divisors (1288765764).

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

537286464 is a wasteful number, since it uses less digits than its factorization.

537286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 622 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 537286464 is about 23179.4405454489. The cubic root of 537286464 is about 812.9589808782.

The spelling of 537286464 in words is "five hundred thirty-seven million, two hundred eighty-six thousand, four hundred sixty-four".