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799453440 = 28325292393
BaseRepresentation
bin101111101001101…
…011000100000000
32001201022102221200
4233221223010000
53114130002230
6211155021200
725545146022
oct5751530400
92051272850
10799453440
113802a8225
121a389a800
13c9821196
1478266012
154a2ba160
hex2fa6b100

799453440 has 216 divisors, whose sum is σ = 2862601560. Its totient is φ = 205750272.

The previous prime is 799453433. The next prime is 799453471. The reversal of 799453440 is 44354997.

It is a happy number.

799453440 is a `hidden beast` number, since 79 + 9 + 4 + 534 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 799305984 = 384^2 + 28272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332884 + ... + 335276.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2799453440 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 799453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431300780).

799453440 is an abundant number, since it is smaller than the sum of its proper divisors (2063148120).

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

799453440 is a wasteful number, since it uses less digits than its factorization.

799453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 799453440 is about 28274.6076895861. The cubic root of 799453440 is about 928.1063096600.

The spelling of 799453440 in words is "seven hundred ninety-nine million, four hundred fifty-three thousand, four hundred forty".