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536992092 = 22357132467
BaseRepresentation
bin100000000000011…
…101100101011100
31101102110000200000
4200000131211130
52044432221332
6125141334300
716210233420
oct4000354534
91342400600
10536992092
1125613311a
1212ba07390
1387337800
1451464b80
1532223b7c
hex2001d95c

536992092 has 216 divisors, whose sum is σ = 1745767296. Its totient is φ = 141321024.

The previous prime is 536992087. The next prime is 536992153. The reversal of 536992092 is 290299635.

536992092 is a `hidden beast` number, since 536 + 9 + 9 + 20 + 92 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1149643 + ... + 1150109.

It is an arithmetic number, because the mean of its divisors is an integer number (8082256).

Almost surely, 2536992092 is an apocalyptic number.

536992092 is a gapful number since it is divisible by the number (52) 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 536992092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872883648).

536992092 is an abundant number, since it is smaller than the sum of its proper divisors (1208775204).

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

536992092 is a wasteful number, since it uses less digits than its factorization.

536992092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 536992092 is about 23173.0898241905. The cubic root of 536992092 is about 812.8104840050.

It can be divided in two parts, 5369 and 92092, that added together give a triangular number (97461 = T441).

The spelling of 536992092 in words is "five hundred thirty-six million, nine hundred ninety-two thousand, ninety-two".