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397813800 = 233522632521
BaseRepresentation
bin10111101101100…
…010100000101000
31000201120000221110
4113231202200220
51303320020200
6103250310320
712600234666
oct2755424050
91021500843
10397813800
1119461243a
12b12883a0
13645574a7
143ab95c36
1524dd0b50
hex17b62828

397813800 has 96 divisors (see below), whose sum is σ = 1238402880. Its totient is φ = 105638400.

The previous prime is 397813799. The next prime is 397813807. The reversal of 397813800 is 8318793.

It is not an unprimeable number, because it can be changed into a prime (397813807) 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 23 ways as a sum of consecutive naturals, for example, 156540 + ... + 159060.

It is an arithmetic number, because the mean of its divisors is an integer number (12900030).

Almost surely, 2397813800 is an apocalyptic number.

397813800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619201440).

397813800 is an abundant number, since it is smaller than the sum of its proper divisors (840589080).

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

397813800 is a wasteful number, since it uses less digits than its factorization.

397813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 397813800 is about 19945.2701159949. The cubic root of 397813800 is about 735.4615084817.

The spelling of 397813800 in words is "three hundred ninety-seven million, eight hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 263 300 526 600 789 1052 1315 1578 2104 2521 2630 3156 3945 5042 5260 6312 6575 7563 7890 10084 10520 12605 13150 15126 15780 19725 20168 25210 26300 30252 31560 37815 39450 50420 52600 60504 63025 75630 78900 100840 126050 151260 157800 189075 252100 302520 378150 504200 663023 756300 1326046 1512600 1989069 2652092 3315115 3978138 5304184 6630230 7956276 9945345 13260460 15912552 16575575 19890690 26520920 33151150 39781380 49726725 66302300 79562760 99453450 132604600 198906900 397813800