Search a number
-
+
65025828 = 2235719503
BaseRepresentation
bin1111100000001…
…1011100100100
311112100122200000
43320003130210
5113121311303
610241421300
71416465450
oct370033444
9145318600
1065025828
113378395a
121993a830
131061972a
1488c9660
155a96da3
hex3e03724

65025828 has 144 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 17565984.

The previous prime is 65025823. The next prime is 65025839. The reversal of 65025828 is 82852056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65025792 and 65025801.

It is not an unprimeable number, because it can be changed into a prime (65025823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129025 + ... + 129527.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 265025828 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 65025828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

65025828 is an abundant number, since it is smaller than the sum of its proper divisors (140444892).

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

65025828 is a wasteful number, since it uses less digits than its factorization.

65025828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65025828 is about 8063.8593737738. The cubic root of 65025828 is about 402.1258238349.

The spelling of 65025828 in words is "sixty-five million, twenty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 503 513 532 567 684 756 798 972 1006 1026 1134 1197 1509 1539 1596 1701 2012 2052 2268 2394 3018 3078 3402 3521 3591 4527 4617 4788 6036 6156 6804 7042 7182 9054 9234 9557 10563 10773 13581 14084 14364 18108 18468 19114 21126 21546 27162 28671 31689 32319 38228 40743 42252 43092 54324 57342 63378 64638 66899 81486 86013 95067 114684 122229 126756 129276 133798 162972 172026 190134 200697 244458 258039 267596 285201 344052 380268 401394 488916 516078 570402 602091 774117 802788 855603 1032156 1140804 1204182 1548234 1711206 1806273 2322351 2408364 3096468 3422412 3612546 4644702 5418819 7225092 9289404 10837638 16256457 21675276 32512914 65025828