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406143409 = 7228792
BaseRepresentation
bin11000001101010…
…100000110110001
31001022020020000111
4120031110012301
51312433042114
6104145021321
713031106400
oct3015240661
91038206014
10406143409
11199291611
12b4024841
13661b2959
143bd23637
15259c8bc4
hex183541b1

406143409 has 9 divisors (see below), whose sum is σ = 472616697. Its totient is φ = 348002004.

The previous prime is 406143391. The next prime is 406143421. The reversal of 406143409 is 904341604.

The square root of 406143409 is 20153.

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

It is not a de Polignac number, because 406143409 - 25 = 406143377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406143469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139632 + ... + 142510.

Almost surely, 2406143409 is an apocalyptic number.

406143409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406143409 is the 20153-rd square number.

406143409 is the 10077-th centered octagonal number.

It is an amenable number.

406143409 is a deficient number, since it is larger than the sum of its proper divisors (66473288).

406143409 is an frugal number, since it uses more digits than its factorization.

406143409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 406143409 is about 740.5592369911.

The spelling of 406143409 in words is "four hundred six million, one hundred forty-three thousand, four hundred nine".

Divisors: 1 7 49 2879 20153 141071 8288641 58020487 406143409