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8316427392 = 273273131619
BaseRepresentation
bin1111011111011001…
…01001110010000000
3210110120211021200100
413233230221302000
5114013001134032
63453121522400
7413042316000
oct75754516200
923416737610
108316427392
113588451a99
1217411a3400
13a26c73170
1458c716000
1533a1a197c
hex1efb29c80

8316427392 has 384 divisors, whose sum is σ = 30073680000. Its totient is φ = 2191988736.

The previous prime is 8316427373. The next prime is 8316427393. The reversal of 8316427392 is 2937246138.

8316427392 is a `hidden beast` number, since 83 + 164 + 27 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (8316427393) by changing a digit.

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, 5135959 + ... + 5137577.

It is an arithmetic number, because the mean of its divisors is an integer number (78316875).

Almost surely, 28316427392 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 8316427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840000).

8316427392 is an abundant number, since it is smaller than the sum of its proper divisors (21757252608).

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

8316427392 is a wasteful number, since it uses less digits than its factorization.

8316427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1644 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 8316427392 is about 91194.4482520729. The cubic root of 8316427392 is about 2026.0287323516.

The spelling of 8316427392 in words is "eight billion, three hundred sixteen million, four hundred twenty-seven thousand, three hundred ninety-two".