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422590249 = 6123372
BaseRepresentation
bin11001001100000…
…011011100101001
31002110011210211201
4121030003130221
51331140341444
6105533324201
713320646354
oct3114033451
91073153751
10422590249
111a75a5344
12b9636661
1369720a03
14401a529b
1527176dd4
hex19303729

422590249 has 9 divisors (see below), whose sum is σ = 430910181. Its totient is φ = 414429120.

The previous prime is 422590243. The next prime is 422590277. The reversal of 422590249 is 942095224.

The square root of 422590249 is 20557.

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 235776025 + 186814224 = 15355^2 + 13668^2 .

It is not a de Polignac number, because 422590249 - 27 = 422590121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422590243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1253809 + ... + 1254145.

It is an arithmetic number, because the mean of its divisors is an integer number (47878909).

Almost surely, 2422590249 is an apocalyptic number.

422590249 is the 20557-th square number.

422590249 is the 10279-th centered octagonal number.

It is an amenable number.

422590249 is a deficient number, since it is larger than the sum of its proper divisors (8319932).

422590249 is an frugal number, since it uses more digits than its factorization.

422590249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 422590249 is about 750.4236119514.

The spelling of 422590249 in words is "four hundred twenty-two million, five hundred ninety thousand, two hundred forty-nine".

Divisors: 1 61 337 3721 20557 113569 1253977 6927709 422590249