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10004949 = 321111661
BaseRepresentation
bin100110001010…
…100111010101
3200211022012200
4212022213111
510030124244
6554235113
7151016643
oct46124725
920738180
1010004949
115713959
123425a99
1320c3bb6
141486193
15d29669
hex98a9d5

10004949 has 6 divisors (see below), whose sum is σ = 14451606. Its totient is φ = 6669960.

The previous prime is 10004947. The next prime is 10004983. The reversal of 10004949 is 94940001.

10004949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7700625 + 2304324 = 2775^2 + 1518^2 .

It is not a de Polignac number, because 10004949 - 21 = 10004947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555822 + ... + 555839.

It is an arithmetic number, because the mean of its divisors is an integer number (2408601).

Almost surely, 210004949 is an apocalyptic number.

It is an amenable number.

10004949 is a deficient number, since it is larger than the sum of its proper divisors (4446657).

10004949 is a wasteful number, since it uses less digits than its factorization.

10004949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111667 (or 1111664 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10004949 is about 3163.0600689838. The cubic root of 10004949 is about 215.4790041327.

The spelling of 10004949 in words is "ten million, four thousand, nine hundred forty-nine".

Divisors: 1 3 9 1111661 3334983 10004949