Search a number
-
+
385573328 = 24717296983
BaseRepresentation
bin10110111110110…
…110000111010000
3222212112011011122
4112332312013100
51242201321303
6102132101412
712361214330
oct2676660720
9885464148
10385573328
11188711a48
12a9164868
1361b5cbca
14392cb0c0
1523cb3e38
hex16fb61d0

385573328 has 80 divisors (see below), whose sum is σ = 935297280. Its totient is φ = 150140928.

The previous prime is 385573313. The next prime is 385573333. The reversal of 385573328 is 823375583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51725 + ... + 58707.

It is an arithmetic number, because the mean of its divisors is an integer number (11691216).

Almost surely, 2385573328 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 385573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467648640).

385573328 is an abundant number, since it is smaller than the sum of its proper divisors (549723952).

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

385573328 is a wasteful number, since it uses less digits than its factorization.

385573328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7038 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 385573328 is about 19636.0211855661. The cubic root of 385573328 is about 727.8395673523.

The spelling of 385573328 in words is "three hundred eighty-five million, five hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 3248 3451 3944 6902 6983 7888 13804 13966 27608 27932 48881 55216 55864 97762 111728 118711 195524 202507 237422 391048 405014 474844 782096 810028 830977 949688 1417549 1620056 1661954 1899376 2835098 3240112 3323908 3442619 5670196 6647816 6885238 11340392 13295632 13770476 22680784 24098333 27540952 48196666 55081904 96393332 192786664 385573328