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397481856 = 2736171239
BaseRepresentation
bin10111101100010…
…001011110000000
31000200221011121020
4113230101132000
51303223404411
6103235225440
712564353142
oct2754213600
91020834536
10397481856
11194406002
12b1148280
136446c385
143ab0ac92
1524d67606
hex17b11780

397481856 has 128 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 127948800.

The previous prime is 397481831. The next prime is 397481863. The reversal of 397481856 is 658184793.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 397481799 and 397481808.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1662985 + ... + 1663223.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2397481856 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 397481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

397481856 is an abundant number, since it is smaller than the sum of its proper divisors (695305344).

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

397481856 is a wasteful number, since it uses less digits than its factorization.

397481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 397481856 is about 19936.9470080050. The cubic root of 397481856 is about 735.2568901658.

The spelling of 397481856 in words is "three hundred ninety-seven million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 71 96 122 128 142 183 192 213 239 244 284 366 384 426 478 488 568 717 732 852 956 976 1136 1434 1464 1704 1912 1952 2272 2868 2928 3408 3824 3904 4331 4544 5736 5856 6816 7648 7808 8662 9088 11472 11712 12993 13632 14579 15296 16969 17324 22944 23424 25986 27264 29158 30592 33938 34648 43737 45888 50907 51972 58316 67876 69296 87474 91776 101814 103944 116632 135752 138592 174948 203628 207888 233264 271504 277184 349896 407256 415776 466528 543008 554368 699792 814512 831552 933056 1035109 1086016 1399584 1629024 1663104 1866112 2070218 2172032 2799168 3105327 3258048 4140436 5598336 6210654 6516096 8280872 12421308 16561744 24842616 33123488 49685232 66246976 99370464 132493952 198740928 397481856