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8958049 = 412732
BaseRepresentation
bin100010001011…
…000001100001
3121212010010121
4202023001201
54243124144
6520000241
7136066522
oct42130141
917763117
108958049
115069351
123000081
131b18529
141292849
15bbe384
hex88b061

8958049 has 9 divisors (see below), whose sum is σ = 9309369. Its totient is φ = 8619840.

The previous prime is 8958041. The next prime is 8958067. The reversal of 8958049 is 9408598.

It is a happy number.

The square root of 8958049 is 2993.

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 2030625 + 6927424 = 1425^2 + 2632^2 .

It is not a de Polignac number, because 8958049 - 23 = 8958041 is a prime.

It is a Duffinian number.

8958049 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8957996 and 8958014.

It is not an unprimeable number, because it can be changed into a prime (8958041) 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, 122677 + ... + 122749.

Almost surely, 28958049 is an apocalyptic number.

8958049 is the 2993-rd square number.

8958049 is the 1497-th centered octagonal number.

It is an amenable number.

8958049 is a deficient number, since it is larger than the sum of its proper divisors (351320).

8958049 is an frugal number, since it uses more digits than its factorization.

8958049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The cubic root of 8958049 is about 207.6846877476.

The spelling of 8958049 in words is "eight million, nine hundred fifty-eight thousand, forty-nine".

Divisors: 1 41 73 1681 2993 5329 122713 218489 8958049