Search a number
-
+
385587468 = 223272241907
BaseRepresentation
bin10110111110111…
…001100100001100
3222212112212120100
4112332321210030
51242202244333
6102132251100
712361303500
oct2676714414
9885485510
10385587468
11188721632
12a9170a90
1361b66486
14392d2300
1523cb8213
hex16fb990c

385587468 has 108 divisors (see below), whose sum is σ = 1139770632. Its totient is φ = 109589760.

The previous prime is 385587467. The next prime is 385587473. The reversal of 385587468 is 864785583.

It is not an unprimeable number, because it can be changed into a prime (385587467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424671 + ... + 425577.

Almost surely, 2385587468 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 385587468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569885316).

385587468 is an abundant number, since it is smaller than the sum of its proper divisors (754183164).

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

385587468 is a wasteful number, since it uses less digits than its factorization.

385587468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1160 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 385587468 is about 19636.3812348406. The cubic root of 385587468 is about 727.8484645148.

The spelling of 385587468 in words is "three hundred eighty-five million, five hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 241 252 294 441 482 588 723 882 907 964 1446 1687 1764 1814 2169 2721 2892 3374 3628 4338 5061 5442 6349 6748 8163 8676 10122 10884 11809 12698 15183 16326 19047 20244 23618 25396 30366 32652 35427 38094 44443 47236 57141 60732 70854 76188 88886 106281 114282 133329 141708 177772 212562 218587 228564 266658 399987 425124 437174 533316 655761 799974 874348 1311522 1530109 1599948 1967283 2623044 3060218 3934566 4590327 6120436 7869132 9180654 10710763 13770981 18361308 21421526 27541962 32132289 42843052 55083924 64264578 96396867 128529156 192793734 385587468