Search a number
-
+
852851472 = 243114734367
BaseRepresentation
bin110010110101010…
…111101100010000
32012102210100021120
4302311113230100
53221312221342
6220343322240
730064055304
oct6265275420
92172710246
10852851472
113a8459a30
121b9750380
131078c9155
14813a5d04
154ed16aec
hex32d57b10

852851472 has 80 divisors (see below), whose sum is σ = 2454700032. Its totient is φ = 252933760.

The previous prime is 852851453. The next prime is 852851479. The reversal of 852851472 is 274158258.

852851472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (852851479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7633 + ... + 41999.

Almost surely, 2852851472 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 852851472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227350016).

852851472 is an abundant number, since it is smaller than the sum of its proper divisors (1601848560).

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

852851472 is a wasteful number, since it uses less digits than its factorization.

852851472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34436 (or 34430 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 852851472 is about 29203.6208713920. The cubic root of 852851472 is about 948.3263132745.

The spelling of 852851472 in words is "eight hundred fifty-two million, eight hundred fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 24816 34367 68734 103101 137468 206202 274936 378037 412404 549872 756074 824808 1134111 1512148 1615249 1649616 2268222 3024296 3230498 4536444 4845747 6048592 6460996 9072888 9691494 12921992 17767739 18145776 19382988 25843984 35535478 38765976 53303217 71070956 77531952 106606434 142141912 213212868 284283824 426425736 852851472