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797148 = 223311261
BaseRepresentation
bin11000010100111011100
31111111111000
43002213130
5201002043
625030300
76530022
oct3024734
91444430
10797148
114a4a00
12325390
1321bab1
1416a712
1510b2d3
hexc29dc

797148 has 72 divisors (see below), whose sum is σ = 2308880. Its totient is φ = 237600.

The previous prime is 797143. The next prime is 797161. The reversal of 797148 is 841797.

797148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (14112) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 797148.

It is not an unprimeable number, because it can be changed into a prime (797143) by changing a digit.

797148 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 23 ways as a sum of consecutive naturals, for example, 13038 + ... + 13098.

2797148 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 797148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154440).

797148 is an abundant number, since it is smaller than the sum of its proper divisors (1511732).

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

797148 is a wasteful number, since it uses less digits than its factorization.

797148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 797148 is about 892.8314510589. The cubic root of 797148 is about 92.7213302263.

It can be divided in two parts, 79 and 7148, that added together give a palindrome (7227).

The spelling of 797148 in words is "seven hundred ninety-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 121 122 132 183 198 242 244 297 363 366 396 484 549 594 671 726 732 1089 1098 1188 1342 1452 1647 2013 2178 2196 2684 3267 3294 4026 4356 6039 6534 6588 7381 8052 12078 13068 14762 18117 22143 24156 29524 36234 44286 66429 72468 88572 132858 199287 265716 398574 797148