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10048149 = 321116461
BaseRepresentation
bin100110010101…
…001010010101
3200220111110200
4212111022111
510033020044
6555211113
7151256616
oct46251225
920814420
1010048149
115743361
123446a99
13210a767
141497c0d
15d37369
hex995295

10048149 has 6 divisors (see below), whose sum is σ = 14514006. Its totient is φ = 6698760.

The previous prime is 10048147. The next prime is 10048153. The reversal of 10048149 is 94184001.

It can be written as a sum of positive squares in only one way, i.e., 8468100 + 1580049 = 2910^2 + 1257^2 .

It is not a de Polignac number, because 10048149 - 21 = 10048147 is a prime.

It is a super-3 number, since 3×100481493 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558222 + ... + 558239.

It is an arithmetic number, because the mean of its divisors is an integer number (2419001).

Almost surely, 210048149 is an apocalyptic number.

It is an amenable number.

10048149 is a deficient number, since it is larger than the sum of its proper divisors (4465857).

10048149 is a wasteful number, since it uses less digits than its factorization.

10048149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116467 (or 1116464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10048149 is about 3169.8815435281. The cubic root of 10048149 is about 215.7886951045.

The spelling of 10048149 in words is "ten million, forty-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 1116461 3349383 10048149