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428233806 = 2327111323767
BaseRepresentation
bin11001100001100…
…101010001001110
31002211210112100100
4121201211101032
51334111440211
6110254311530
713416633030
oct3141452116
91084715310
10428233806
111aa7aa440
12bb4b85a6
136a9486b0
1440c33c50
15278de156
hex1986544e

428233806 has 96 divisors (see below), whose sum is σ = 1245823488. Its totient is φ = 102669120.

The previous prime is 428233789. The next prime is 428233811. The reversal of 428233806 is 608332824.

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 47 ways as a sum of consecutive naturals, for example, 6135 + ... + 29901.

It is an arithmetic number, because the mean of its divisors is an integer number (12977328).

Almost surely, 2428233806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428233806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622911744).

428233806 is an abundant number, since it is smaller than the sum of its proper divisors (817589682).

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

428233806 is a wasteful number, since it uses less digits than its factorization.

428233806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23806 (or 23803 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 428233806 is about 20693.8108138641. The cubic root of 428233806 is about 753.7494060373.

The spelling of 428233806 in words is "four hundred twenty-eight million, two hundred thirty-three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 23767 47534 71301 142602 166369 213903 261437 308971 332738 427806 499107 522874 617942 784311 926913 998214 1497321 1568622 1830059 1853826 2162797 2352933 2780739 2994642 3398681 3660118 4325594 4705866 5490177 5561478 6488391 6797362 10196043 10980354 12976782 16470531 19465173 20392086 23790767 30588129 32941062 38930346 47581534 61176258 71372301 142744602 214116903 428233806