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376486992 = 243272229233
BaseRepresentation
bin10110011100001…
…011110001010000
3222020102112001200
4112130023301100
51232340040432
6101205231200
712221041500
oct2634136120
9866375050
10376486992
11183576282
12a6102500
135cccb18b
1438003a00
15230bba7c
hex1670bc50

376486992 has 180 divisors, whose sum is σ = 1236299220. Its totient is φ = 106638336.

The previous prime is 376486933. The next prime is 376486993. The reversal of 376486992 is 299684673.

It is a happy number.

376486992 is a `hidden beast` number, since 3 + 76 + 486 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226081296 + 150405696 = 15036^2 + 12264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376486993) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1615708 + ... + 1615940.

It is an arithmetic number, because the mean of its divisors is an integer number (6868329).

Almost surely, 2376486992 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 376486992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618149610).

376486992 is an abundant number, since it is smaller than the sum of its proper divisors (859812228).

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

376486992 is a wasteful number, since it uses less digits than its factorization.

376486992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

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

The square root of 376486992 is about 19403.2727136429. The cubic root of 376486992 is about 722.0766896488.

The spelling of 376486992 in words is "three hundred seventy-six million, four hundred eighty-six thousand, nine hundred ninety-two".