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796296468 = 2231118133329
BaseRepresentation
bin101111011101101…
…000010100010100
32001111101001101210
4233131220110110
53112322441333
6211003221420
725506260022
oct5735502424
92044331353
10796296468
11379541360
121a2817870
13c8c87256
1477a83712
1549d94a63
hex2f768514

796296468 has 48 divisors (see below), whose sum is σ = 2038196160. Its totient is φ = 239961600.

The previous prime is 796296463. The next prime is 796296481. The reversal of 796296468 is 864692697.

796296468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×7962964684 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796296463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7228 + ... + 40556.

It is an arithmetic number, because the mean of its divisors is an integer number (42462420).

Almost surely, 2796296468 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 796296468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019098080).

796296468 is an abundant number, since it is smaller than the sum of its proper divisors (1241899692).

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

796296468 is a wasteful number, since it uses less digits than its factorization.

796296468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33528 (or 33526 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 796296468 is about 28218.7254850392. The cubic root of 796296468 is about 926.8830277075.

The spelling of 796296468 in words is "seven hundred ninety-six million, two hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3982 5973 7964 11946 23892 33329 66658 99987 133316 199974 366619 399948 733238 1099857 1466476 2199714 4399428 6032549 12065098 18097647 24130196 36195294 66358039 72390588 132716078 199074117 265432156 398148234 796296468