Search a number
-
+
39807432324 = 223211230232
BaseRepresentation
bin100101000100101101…
…010011011010000100
310210202020201002022100
4211010231103122010
51123011200313244
630142015232100
72606315410002
oct450455233204
9123666632270
1039807432324
1115978292100
12786b518630
1339a51cb1aa
141cd8ba1a72
15107eb49b69
hex944b53684

39807432324 has 81 divisors (see below), whose sum is σ = 110640215959. Its totient is φ = 12058867920.

The previous prime is 39807432281. The next prime is 39807432347. The reversal of 39807432324 is 42323470893.

The square root of 39807432324 is 199518.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39807432324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13166677 + ... + 13169699.

Almost surely, 239807432324 is an apocalyptic number.

39807432324 is the 199518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39807432324

39807432324 is an abundant number, since it is smaller than the sum of its proper divisors (70832783635).

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

39807432324 is a wasteful number, since it uses less digits than its factorization.

39807432324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 39807432324 in words is "thirty-nine billion, eight hundred seven million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3023 4356 6046 9069 12092 18138 27207 33253 36276 54414 66506 99759 108828 133012 199518 299277 365783 399036 598554 731566 1097349 1197108 1463132 2194698 3292047 4389396 6584094 9138529 13168188 18277058 27415587 36554116 54831174 82246761 100523819 109662348 164493522 201047638 301571457 328987044 402095276 603142914 904714371 1105762009 1206285828 1809428742 2211524018 3317286027 3618857484 4423048036 6634572054 9951858081 13269144108 19903716162 39807432324