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385697808 = 24331098191
BaseRepresentation
bin10110111111010…
…100100000010000
3222212202110221000
4112333110200100
51242214312213
6102134502000
712362243256
oct2677244020
9885673830
10385697808
11188797521
12a9204900
1361ba4772
14393205d6
1523cdac73
hex16fd4810

385697808 has 80 divisors (see below), whose sum is σ = 1117388800. Its totient is φ = 127370880.

The previous prime is 385697803. The next prime is 385697843. The reversal of 385697808 is 808796583.

It is a happy number.

385697808 is a `hidden beast` number, since 3 + 8 + 569 + 78 + 0 + 8 = 666.

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 (385697803) 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 15 ways as a sum of consecutive naturals, for example, 42993 + ... + 51183.

It is an arithmetic number, because the mean of its divisors is an integer number (13967360).

Almost surely, 2385697808 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 385697808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558694400).

385697808 is an abundant number, since it is smaller than the sum of its proper divisors (731690992).

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

385697808 is a wasteful number, since it uses less digits than its factorization.

385697808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 385697808 is about 19639.1906146867. The cubic root of 385697808 is about 727.9178851149.

The spelling of 385697808 in words is "three hundred eighty-five million, six hundred ninety-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 5232 5886 7848 8191 11772 15696 16382 23544 24573 32764 47088 49146 65528 73719 98292 131056 147438 196584 221157 294876 393168 442314 589752 884628 892819 1179504 1769256 1785638 2678457 3538512 3571276 5356914 7142552 8035371 10713828 14285104 16070742 21427656 24106113 32141484 42855312 48212226 64282968 96424452 128565936 192848904 385697808