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990046225 = 5272292312
BaseRepresentation
bin111011000000101…
…110100000010001
32112222221120002201
4323000232200101
54011422434400
6242124043201
733351153100
oct7300564021
92488846081
10990046225
11468945423
12237693501
1312a16368c
14956ba037
155bdb706a
hex3b02e811

990046225 has 81 divisors (see below), whose sum is σ = 1528283601. Its totient is φ = 634334400.

The previous prime is 990046219. The next prime is 990046261. The reversal of 990046225 is 522640099.

The square root of 990046225 is 31465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13608721 + 976437504 = 3689^2 + 31248^2 .

It is not a de Polignac number, because 990046225 - 25 = 990046193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31936960 + ... + 31936990.

Almost surely, 2990046225 is an apocalyptic number.

990046225 is the 31465-th square number.

990046225 is the 15733-rd centered octagonal number.

It is an amenable number.

990046225 is a deficient number, since it is larger than the sum of its proper divisors (538237376).

990046225 is a wasteful number, since it uses less digits than its factorization.

990046225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 990046225 is about 996.6710050904.

The spelling of 990046225 in words is "nine hundred ninety million, forty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 31 35 49 145 155 175 203 217 245 725 775 841 899 961 1015 1085 1225 1421 1519 4205 4495 4805 5075 5425 5887 6293 6727 7105 7595 21025 22475 24025 26071 27869 29435 31465 33635 35525 37975 41209 44051 47089 130355 139345 147175 157325 168175 182497 195083 206045 220255 235445 651775 696725 808201 912485 975415 1030225 1101275 1177225 1277479 1365581 4041005 4562425 4877075 5657407 6387395 6827905 20205025 28287035 31936975 34139525 39601849 141435175 198009245 990046225