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385973946 = 232131191857
BaseRepresentation
bin10111000000010…
…111111010111010
3222220021111201100
4113000113322322
51242302131241
6102144432230
712364503321
oct2700277272
9886244640
10385973946
11188965a36
12a9318676
1361c70367
14393930b8
1523d429b6
hex17017eba

385973946 has 48 divisors (see below), whose sum is σ = 848060928. Its totient is φ = 126859200.

The previous prime is 385973911. The next prime is 385973983. The reversal of 385973946 is 649379583.

385973946 is a `hidden beast` number, since 3 + 8 + 597 + 3 + 9 + 46 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 385973892 and 385973901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449950 + ... + 450806.

It is an arithmetic number, because the mean of its divisors is an integer number (17667936).

Almost surely, 2385973946 is an apocalyptic number.

385973946 is an abundant number, since it is smaller than the sum of its proper divisors (462086982).

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

385973946 is a wasteful number, since it uses less digits than its factorization.

385973946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1184 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 385973946 is about 19646.2196363575. The cubic root of 385973946 is about 728.0915598020.

The spelling of 385973946 in words is "three hundred eighty-five million, nine hundred seventy-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 131 191 262 382 393 573 786 857 1146 1179 1714 1719 2358 2571 3438 5142 7713 15426 25021 50042 75063 112267 150126 163687 224534 225189 327374 336801 450378 491061 673602 982122 1010403 1473183 2020806 2946366 21442997 42885994 64328991 128657982 192986973 385973946