Search a number
-
+
10284849 = 3210692
BaseRepresentation
bin100111001110…
…111100110001
3201100112011100
4213032330301
510113103344
61004235013
7153263661
oct47167461
921315140
1010284849
115895183
12353ba69
132191413
14151a1a1
15d82569
hex9cef31

10284849 has 9 divisors (see below), whose sum is σ = 14869803. Its totient is φ = 6850152.

The previous prime is 10284829. The next prime is 10284877. The reversal of 10284849 is 94848201.

The square root of 10284849 is 3207.

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., 4809249 + 5475600 = 2193^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10284849 - 219 = 9760561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10284829) 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, 9087 + ... + 10155.

Almost surely, 210284849 is an apocalyptic number.

10284849 is the 3207-th square number.

10284849 is the 1604-th centered octagonal number.

It is an amenable number.

10284849 is a deficient number, since it is larger than the sum of its proper divisors (4584954).

10284849 is an frugal number, since it uses more digits than its factorization.

10284849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 10284849 is about 217.4699760380.

Multiplying 10284849 by its sum of digits (36), we get a square (370254564 = 192422).

The spelling of 10284849 in words is "ten million, two hundred eighty-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 1069 3207 9621 1142761 3428283 10284849