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536092128 = 253311134339
BaseRepresentation
bin11111111101000…
…001110111100000
31101100202022011000
4133331001313200
52044214422003
6125110152000
716166464545
oct3775016740
91340668130
10536092128
11255678a50
1212b652600
13870b0ca0
14512acbcc
15320e71a3
hex1ff41de0

536092128 has 192 divisors, whose sum is σ = 1837382400. Its totient is φ = 149921280.

The previous prime is 536092121. The next prime is 536092133. The reversal of 536092128 is 821290635.

536092128 is a `hidden beast` number, since 5 + 3 + 609 + 21 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 536092092 and 536092101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536092121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121383 + ... + 125721.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2536092128 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 536092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918691200).

536092128 is an abundant number, since it is smaller than the sum of its proper divisors (1301290272).

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

536092128 is a wasteful number, since it uses less digits than its factorization.

536092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 536092128 is about 23153.6633818495. The cubic root of 536092128 is about 812.3561575104.

The spelling of 536092128 in words is "five hundred thirty-six million, ninety-two thousand, one hundred twenty-eight".