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797088 = 25319223
BaseRepresentation
bin11000010100110100000
31111111101210
43002212200
5201001323
625030120
76526605
oct3024640
91444353
10797088
114a4956
12325340
1321ba66
1416a6ac
1510b293
hexc29a0

797088 has 72 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 240768.

The previous prime is 797077. The next prime is 797119. The reversal of 797088 is 880797.

It is a congruent number.

It is an unprimeable number.

797088 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34645 + ... + 34667.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2797088 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 797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

797088 is an abundant number, since it is smaller than the sum of its proper divisors (1507200).

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

797088 is a wasteful number, since it uses less digits than its factorization.

797088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 797088 is about 892.7978494598. The cubic root of 797088 is about 92.7190038413.

The spelling of 797088 in words is "seven hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 361 368 437 456 552 608 722 736 874 912 1083 1104 1311 1444 1748 1824 2166 2208 2622 2888 3496 4332 5244 5776 6992 8303 8664 10488 11552 13984 16606 17328 20976 24909 33212 34656 41952 49818 66424 99636 132848 199272 265696 398544 797088