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536826 = 231719277
BaseRepresentation
bin10000011000011111010
31000021101110
42003003322
5114134301
615301150
74364043
oct2030372
91007343
10536826
11337364
1221a7b6
1315a464
14dd8ca
15a90d6
hex830fa

536826 has 32 divisors (see below), whose sum is σ = 1200960. Its totient is φ = 158976.

The previous prime is 536803. The next prime is 536839. The reversal of 536826 is 628635.

536826 = 1592 + 1602 + ... + 1772.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 536793 and 536802.

It is a congruent number.

It is an unprimeable number.

536826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1800 + ... + 2076.

It is an arithmetic number, because the mean of its divisors is an integer number (37530).

2536826 is an apocalyptic number.

536826 is an abundant number, since it is smaller than the sum of its proper divisors (664134).

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

536826 is a wasteful number, since it uses less digits than its factorization.

536826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its digits is 8640, while the sum is 30.

The square root of 536826 is about 732.6841065562. The cubic root of 536826 is about 81.2726674428.

Subtracting 536826 from its reverse (628635), we obtain a square (91809 = 3032).

The spelling of 536826 in words is "five hundred thirty-six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 277 323 554 646 831 969 1662 1938 4709 5263 9418 10526 14127 15789 28254 31578 89471 178942 268413 536826