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382097088 = 263579311
BaseRepresentation
bin10110110001100…
…101011011000000
3222121222112200000
4112301211123000
51240304101323
6101525400000
712316525452
oct2661453300
9877875600
10382097088
1118675821a
12a7b69000
1361213869
1438a642d2
1523828e43
hex16c656c0

382097088 has 168 divisors, whose sum is σ = 1153850880. Its totient is φ = 125349120.

The previous prime is 382097077. The next prime is 382097101. The reversal of 382097088 is 880790283.

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, 1228453 + ... + 1228763.

It is an arithmetic number, because the mean of its divisors is an integer number (6868160).

Almost surely, 2382097088 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 382097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

382097088 is an abundant number, since it is smaller than the sum of its proper divisors (771753792).

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

382097088 is an equidigital number, since it uses as much as digits as its factorization.

382097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 382097088 is about 19547.3038550077. The cubic root of 382097088 is about 725.6456162642.

The spelling of 382097088 in words is "three hundred eighty-two million, ninety-seven thousand, eighty-eight".