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405418225 = 5240272
BaseRepresentation
bin11000001010100…
…011000011110001
31001020212101020211
4120022203003301
51312241340400
6104121304121
713021666222
oct3012430361
91036771224
10405418225
11198936793
12b3935041
1365cba854
143bbb5249
15258d3dba
hex182a30f1

405418225 has 9 divisors (see below), whose sum is σ = 502843467. Its totient is φ = 324254040.

The previous prime is 405418207. The next prime is 405418259. The reversal of 405418225 is 522814504.

The square root of 405418225 is 20135.

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., 145950561 + 259467664 = 12081^2 + 16108^2 .

It is a de Polignac number, because none of the positive numbers 2k-405418225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98662 + ... + 102688.

Almost surely, 2405418225 is an apocalyptic number.

405418225 is the 20135-th square number.

405418225 is the 10068-th centered octagonal number.

It is an amenable number.

405418225 is a deficient number, since it is larger than the sum of its proper divisors (97425242).

405418225 is an frugal number, since it uses more digits than its factorization.

405418225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The cubic root of 405418225 is about 740.1182091413.

The spelling of 405418225 in words is "four hundred five million, four hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 25 4027 20135 100675 16216729 81083645 405418225