Search a number
-
+
385393590 = 23254282151
BaseRepresentation
bin10110111110001…
…010001110110110
3222212012000121200
4112332022032312
51242130043330
6102124153330
712356535321
oct2676121666
9885160550
10385393590
111885a99aa
12a9098846
1361ac915a
14392817b8
1523c7aa60
hex16f8a3b6

385393590 has 24 divisors (see below), whose sum is σ = 1002023568. Its totient is φ = 102771600.

The previous prime is 385393583. The next prime is 385393601. The reversal of 385393590 is 95393583.

385393590 is a `hidden beast` number, since 3 + 8 + 53 + 9 + 3 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140986 + ... + 2141165.

It is an arithmetic number, because the mean of its divisors is an integer number (41750982).

Almost surely, 2385393590 is an apocalyptic number.

385393590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385393590 is an abundant number, since it is smaller than the sum of its proper divisors (616629978).

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

385393590 is a wasteful number, since it uses less digits than its factorization.

385393590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282164 (or 4282161 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 385393590 is about 19631.4439102171. The cubic root of 385393590 is about 727.7264537528.

The spelling of 385393590 in words is "three hundred eighty-five million, three hundred ninety-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4282151 8564302 12846453 21410755 25692906 38539359 42821510 64232265 77078718 128464530 192696795 385393590