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385465806 = 2321119791297
BaseRepresentation
bin10110111110011…
…011110111001110
3222212022200200100
4112332123313032
51242134401211
6102125511530
712360256005
oct2676336716
9885280610
10385465806
11188649190
12a91125a6
1361b22c9b
143929dc3c
1523c92156
hex16f9bdce

385465806 has 96 divisors (see below), whose sum is σ = 971942400. Its totient is φ = 109175040.

The previous prime is 385465799. The next prime is 385465813. The reversal of 385465806 is 608564583.

It is an interprime number because it is at equal distance from previous prime (385465799) and next prime (385465813).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296550 + ... + 297846.

It is an arithmetic number, because the mean of its divisors is an integer number (10124400).

Almost surely, 2385465806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385465806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485971200).

385465806 is an abundant number, since it is smaller than the sum of its proper divisors (586476594).

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

385465806 is a wasteful number, since it uses less digits than its factorization.

385465806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 385465806 is about 19633.2831182154. The cubic root of 385465806 is about 727.7719053056.

The spelling of 385465806 in words is "three hundred eighty-five million, four hundred sixty-five thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 79 99 114 158 171 198 209 237 342 418 474 627 711 869 1254 1297 1422 1501 1738 1881 2594 2607 3002 3762 3891 4503 5214 7782 7821 9006 11673 13509 14267 15642 16511 23346 24643 27018 28534 33022 42801 49286 49533 73929 85602 99066 102463 128403 147858 148599 204926 221787 256806 271073 297198 307389 443574 542146 614778 813219 922167 1127093 1626438 1844334 1946797 2254186 2439657 3381279 3893594 4879314 5840391 6762558 10143837 11680782 17521173 20287674 21414767 35042346 42829534 64244301 128488602 192732903 385465806