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882981225 = 3252722832
BaseRepresentation
bin110100101000010…
…011100101101001
32021112111002112100
4310220103211221
53302020344400
6223341204013
730611134200
oct6450234551
92245432470
10882981225
11413468955
12207860609
13110c181c9
14853aa237
15527b9100
hex34a13969

882981225 has 81 divisors (see below), whose sum is σ = 1846248183. Its totient is φ = 402222240.

The previous prime is 882981223. The next prime is 882981233. The reversal of 882981225 is 522189288.

The square root of 882981225 is 29715.

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

It can be written as a sum of positive squares in only one way, i.e., 317873241 + 565107984 = 17829^2 + 23772^2 .

It is not a de Polignac number, because 882981225 - 21 = 882981223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (882981223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3119934 + ... + 3120216.

Almost surely, 2882981225 is an apocalyptic number.

882981225 is the 29715-th square number.

882981225 is the 14858-th centered octagonal number.

It is an amenable number.

882981225 is an abundant number, since it is smaller than the sum of its proper divisors (963266958).

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

882981225 is a wasteful number, since it uses less digits than its factorization.

882981225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The cubic root of 882981225 is about 959.3648956838.

The spelling of 882981225 in words is "eight hundred eighty-two million, nine hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 283 315 441 525 735 849 1225 1415 1575 1981 2205 2547 3675 4245 5943 7075 9905 11025 12735 13867 17829 21225 29715 41601 49525 63675 69335 80089 89145 124803 148575 208005 240267 346675 400445 445725 560623 624015 720801 1040025 1201335 1681869 2002225 2803115 3120075 3604005 3924361 5045607 6006675 8409345 11773083 14015575 18020025 19621805 25228035 35319249 42046725 58865415 98109025 126140175 176596245 294327075 882981225