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828126 = 232133539
BaseRepresentation
bin11001010001011011110
31120001222100
43022023132
5203000001
625425530
710016235
oct3121336
91501870
10828126
11516202
1233b2a6
1322cc20
14177b1c
15115586
hexca2de

828126 has 24 divisors (see below), whose sum is σ = 1932840. Its totient is φ = 254736.

The previous prime is 828119. The next prime is 828127. The reversal of 828126 is 621828.

It is a self number, because there is not a number n which added to its sum of digits gives 828126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828127) by changing a digit.

828126 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1536 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (80535).

2828126 is an apocalyptic number.

828126 is an abundant number, since it is smaller than the sum of its proper divisors (1104714).

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

828126 is a wasteful number, since it uses less digits than its factorization.

828126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3557 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 828126 is about 910.0142856022. The cubic root of 828126 is about 93.9071816546.

The spelling of 828126 in words is "eight hundred twenty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3539 7078 10617 21234 31851 46007 63702 92014 138021 276042 414063 828126