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973028 = 227193159
BaseRepresentation
bin11101101100011100100
31211102202002
43231203210
5222114103
632504432
711161550
oct3554344
91742662
10973028
11605061
123ab118
13280b74
141b4860
15143488
hexed8e4

973028 has 48 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 375840.

The previous prime is 973003. The next prime is 973031. The reversal of 973028 is 820379.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973028.

It is an unprimeable number.

973028 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 15 ways as a sum of consecutive naturals, for example, 16463 + ... + 16521.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

2973028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

973028 is an abundant number, since it is smaller than the sum of its proper divisors (1177372).

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

973028 is a wasteful number, since it uses less digits than its factorization.

973028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 973028 is about 986.4218164660. The cubic root of 973028 is about 99.0927267803.

It can be divided in two parts, 97 and 3028, that added together give a 5-th power (3125 = 55).

The spelling of 973028 in words is "nine hundred seventy-three thousand, twenty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 59 62 76 118 124 133 217 236 266 413 434 532 589 826 868 1121 1178 1652 1829 2242 2356 3658 4123 4484 7316 7847 8246 12803 15694 16492 25606 31388 34751 51212 69502 139004 243257 486514 973028