Search a number
-
+
447828108 = 2237133113229
BaseRepresentation
bin11010101100010…
…101000010001100
31011012200000200020
4122230111002030
51404120444413
6112234302140
714045322210
oct3254250214
91135600606
10447828108
1120a872982
12105b87950
1371a19260
1443694940
15294aec23
hex1ab1508c

447828108 has 96 divisors (see below), whose sum is σ = 1327656960. Its totient is φ = 114289920.

The previous prime is 447828103. The next prime is 447828133. The reversal of 447828108 is 801828744.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 447828108.

It is not an unprimeable number, because it can be changed into a prime (447828103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27238 + ... + 40466.

It is an arithmetic number, because the mean of its divisors is an integer number (13829760).

Almost surely, 2447828108 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 447828108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663828480).

447828108 is an abundant number, since it is smaller than the sum of its proper divisors (879828852).

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

447828108 is a wasteful number, since it uses less digits than its factorization.

447828108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 447828108 is about 21161.9495321201. The cubic root of 447828108 is about 765.0745982190.

The spelling of 447828108 in words is "four hundred forty-seven million, eight hundred twenty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4836 5642 8463 11284 13229 16926 26458 33852 39687 52916 79374 92603 158748 171977 185206 277809 343954 370412 410099 515931 555618 687908 820198 1031862 1111236 1203839 1230297 1640396 2063724 2407678 2460594 2870693 3611517 4815356 4921188 5331287 5741386 7223034 8612079 10662574 11482772 14446068 15993861 17224158 21325148 31987722 34448316 37319009 63975444 74638018 111957027 149276036 223914054 447828108