Search a number
-
+
385192016 = 241119127907
BaseRepresentation
bin10110111101011…
…001000001010000
3222211210210002222
4112331121001100
51242102121031
6102120000212
712355035536
oct2675310120
9884723088
10385192016
11188481510
12a9000068
1361a58491
143922c156
1523c3ae7b
hex16f59050

385192016 has 80 divisors (see below), whose sum is σ = 864706560. Its totient is φ = 164384640.

The previous prime is 385192009. The next prime is 385192033. The reversal of 385192016 is 610291583.

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, 424235 + ... + 425141.

It is an arithmetic number, because the mean of its divisors is an integer number (10808832).

Almost surely, 2385192016 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 385192016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432353280).

385192016 is an abundant number, since it is smaller than the sum of its proper divisors (479514544).

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

385192016 is a wasteful number, since it uses less digits than its factorization.

385192016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 385192016 is about 19626.3092811664. The cubic root of 385192016 is about 727.5995563694.

The spelling of 385192016 in words is "three hundred eighty-five million, one hundred ninety-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 127 152 176 209 254 304 418 508 836 907 1016 1397 1672 1814 2032 2413 2794 3344 3628 4826 5588 7256 9652 9977 11176 14512 17233 19304 19954 22352 26543 34466 38608 39908 53086 68932 79816 106172 115189 137864 159632 189563 212344 230378 275728 379126 424688 460756 758252 921512 1267079 1516504 1843024 2188591 2534158 3033008 4377182 5068316 8754364 10136632 17508728 20273264 24074501 35017456 48149002 96298004 192596008 385192016