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796416 = 2831761
BaseRepresentation
bin11000010011100000000
31111110110220
43002130000
5200441131
625023040
76524625
oct3023400
91443426
10796416
114a43a5
12324a80
1321b66a
1416a34c
1510ae96
hexc2700

796416 has 72 divisors (see below), whose sum is σ = 2281104. Its totient is φ = 245760.

The previous prime is 796409. The next prime is 796447. The reversal of 796416 is 614697.

It is a happy number.

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 796416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13026 + ... + 13086.

It is an arithmetic number, because the mean of its divisors is an integer number (31682).

2796416 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 796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140552).

796416 is an abundant number, since it is smaller than the sum of its proper divisors (1484688).

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

796416 is a wasteful number, since it uses less digits than its factorization.

796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 796416 is about 892.4214251126. The cubic root of 796416 is about 92.6929403500.

The spelling of 796416 in words is "seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 128 136 183 192 204 244 256 272 366 384 408 488 544 732 768 816 976 1037 1088 1464 1632 1952 2074 2176 2928 3111 3264 3904 4148 4352 5856 6222 6528 7808 8296 11712 12444 13056 15616 16592 23424 24888 33184 46848 49776 66368 99552 132736 199104 265472 398208 796416