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397999008 = 253711247
BaseRepresentation
bin10111101110001…
…111101110100000
31000201220110000000
4113232033232200
51303341432013
6103254300000
712601635651
oct2756175640
91021813000
10397999008
11194729600
12b1357600
13645c0894
143ac03528
1524e1a973
hex17b8fba0

397999008 has 288 divisors, whose sum is σ = 1319189760. Its totient is φ = 118039680.

The previous prime is 397998989. The next prime is 397999009. The reversal of 397999008 is 800999793.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (397999009) 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, 8468041 + ... + 8468087.

It is an arithmetic number, because the mean of its divisors is an integer number (4580520).

Almost surely, 2397999008 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 397999008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659594880).

397999008 is an abundant number, since it is smaller than the sum of its proper divisors (921190752).

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

397999008 is an equidigital number, since it uses as much as digits as its factorization.

397999008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 397999008 is about 19949.9124810110. The cubic root of 397999008 is about 735.5756257076.

The spelling of 397999008 in words is "three hundred ninety-seven million, nine hundred ninety-nine thousand, eight".