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536850 = 232521193
BaseRepresentation
bin10000011000100010010
31000021102100
42003010102
5114134400
615301230
74364106
oct2030422
91007370
10536850
11337386
1221a816
1315a482
14dd906
15a9100
hex83112

536850 has 36 divisors (see below), whose sum is σ = 1443546. Its totient is φ = 143040.

The previous prime is 536849. The next prime is 536857. The reversal of 536850 is 58635.

It can be written as a sum of positive squares in 3 ways, for example, as 400689 + 136161 = 633^2 + 369^2 .

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536850.

It is not an unprimeable number, because it can be changed into a prime (536857) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147 + ... + 1046.

2536850 is an apocalyptic number.

536850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 536850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721773).

536850 is an abundant number, since it is smaller than the sum of its proper divisors (906696).

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

536850 is a wasteful number, since it uses less digits than its factorization.

536850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 536850 is about 732.7004845092. The cubic root of 536850 is about 81.2738785832.

It can be divided in two parts, 53 and 6850, that added together give a triangular number (6903 = T117).

The spelling of 536850 in words is "five hundred thirty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1193 2386 3579 5965 7158 10737 11930 17895 21474 29825 35790 53685 59650 89475 107370 178950 268425 536850