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796536 = 2332132337
BaseRepresentation
bin11000010011101111000
31111110122100
43002131320
5200442121
625023400
76525156
oct3023570
91443570
10796536
114a44a4
12324b60
1321b730
1416a3d6
1510b026
hexc2778

796536 has 96 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 228096.

The previous prime is 796531. The next prime is 796541. The reversal of 796536 is 635697.

It is a happy number.

796536 is nontrivially palindromic in base 11.

796536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (796531) and next prime (796541).

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

It is a d-powerful number, because it can be written as 73 + 95 + 53 + 67 + 311 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 796536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21510 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2796536 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 796536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880).

796536 is an abundant number, since it is smaller than the sum of its proper divisors (1693224).

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

796536 is a wasteful number, since it uses less digits than its factorization.

796536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 796536 is about 892.4886553901. The cubic root of 796536 is about 92.6975956199.

It can be divided in two parts, 7965 and 36, that added together give a triangular number (8001 = T126).

The spelling of 796536 in words is "seven hundred ninety-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 37 39 46 52 69 72 74 78 92 104 111 117 138 148 156 184 207 222 234 276 296 299 312 333 414 444 468 481 552 598 666 828 851 888 897 936 962 1196 1332 1443 1656 1702 1794 1924 2392 2553 2664 2691 2886 3404 3588 3848 4329 5106 5382 5772 6808 7176 7659 8658 10212 10764 11063 11544 15318 17316 20424 21528 22126 30636 33189 34632 44252 61272 66378 88504 99567 132756 199134 265512 398268 796536