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424978225 = 5272192312
BaseRepresentation
bin11001010101001…
…010011100110001
31002121200010112021
4121111022130301
51332243300400
6110100431441
713350153400
oct3125123461
91077603467
10424978225
111a8986481
12ba3a8581
136a078909
1440627637
152749971a
hex1954a731

424978225 has 81 divisors (see below), whose sum is σ = 668514411. Its totient is φ = 267170400.

The previous prime is 424978219. The next prime is 424978237. The reversal of 424978225 is 522879424.

It is a happy number.

The square root of 424978225 is 20615.

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., 152992161 + 271986064 = 12369^2 + 16492^2 .

It is not a de Polignac number, because 424978225 - 25 = 424978193 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, 13708960 + ... + 13708990.

Almost surely, 2424978225 is an apocalyptic number.

424978225 is the 20615-th square number.

424978225 is the 10308-th centered octagonal number.

It is an amenable number.

424978225 is a deficient number, since it is larger than the sum of its proper divisors (243536186).

424978225 is a wasteful number, since it uses less digits than its factorization.

424978225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The cubic root of 424978225 is about 751.8344575107.

The spelling of 424978225 in words is "four hundred twenty-four million, nine hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 31 35 49 95 133 155 175 217 245 361 475 589 665 775 931 961 1085 1225 1519 1805 2527 2945 3325 4123 4655 4805 5425 6727 7595 9025 11191 12635 14725 17689 18259 20615 23275 24025 28861 33635 37975 47089 55955 63175 78337 88445 91295 103075 127813 144305 168175 235445 279775 346921 391685 442225 456475 548359 639065 721525 894691 1177225 1734605 1958425 2428447 2741795 3195325 4473455 8673025 12142235 13708975 16999129 22367275 60711175 84995645 424978225