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796382496 = 253372131447
BaseRepresentation
bin101111011101111…
…101010100100000
32001111112102102000
4233131331110200
53112333214441
6211005124000
725510065600
oct5735752440
92044472360
10796382496
1137959aa58
121a2859600
13c8cb7460
1477aa6c00
1549db02b6
hex2f77d520

796382496 has 288 divisors, whose sum is σ = 2911870080. Its totient is φ = 209889792.

The previous prime is 796382453. The next prime is 796382519. The reversal of 796382496 is 694283697.

It is a happy number.

796382496 is a `hidden beast` number, since 79 + 6 + 3 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549645 + ... + 551091.

It is an arithmetic number, because the mean of its divisors is an integer number (10110660).

Almost surely, 2796382496 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 796382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455935040).

796382496 is an abundant number, since it is smaller than the sum of its proper divisors (2115487584).

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

796382496 is a wasteful number, since it uses less digits than its factorization.

796382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1472 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 796382496 is about 28220.2497508438. The cubic root of 796382496 is about 926.9164051513.

The spelling of 796382496 in words is "seven hundred ninety-six million, three hundred eighty-two thousand, four hundred ninety-six".