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536003829 = 32173503293
BaseRepresentation
bin11111111100101…
…100010011110101
31101100120211000200
4133330230103311
52044204110304
6125104231113
716165646244
oct3774542365
91340524020
10536003829
11255618679
1212b60b499
138707ca3a
145128895b
15320cae39
hex1ff2c4f5

536003829 has 12 divisors (see below), whose sum is σ = 819770796. Its totient is φ = 336316032.

The previous prime is 536003827. The next prime is 536003833. The reversal of 536003829 is 928300635.

It can be written as a sum of positive squares in 2 ways, for example, as 295908804 + 240095025 = 17202^2 + 15495^2 .

It is not a de Polignac number, because 536003829 - 21 = 536003827 is a prime.

It is a super-2 number, since 2×5360038292 = 574600209405322482, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 536003793 and 536003802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536003827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1751494 + ... + 1751799.

It is an arithmetic number, because the mean of its divisors is an integer number (68314233).

Almost surely, 2536003829 is an apocalyptic number.

It is an amenable number.

536003829 is a deficient number, since it is larger than the sum of its proper divisors (283766967).

536003829 is a wasteful number, since it uses less digits than its factorization.

536003829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503316 (or 3503313 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 536003829 is about 23151.7564992378. The cubic root of 536003829 is about 812.3115543716.

The spelling of 536003829 in words is "five hundred thirty-six million, three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 51 153 3503293 10509879 31529637 59555981 178667943 536003829