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293049 = 3232561
BaseRepresentation
bin1000111100010111001
3112212222200
41013202321
533334144
610140413
72330241
oct1074271
9485880
10293049
11190199
12121709
13a3503
1478b21
155bc69
hex478b9

293049 has 6 divisors (see below), whose sum is σ = 423306. Its totient is φ = 195360.

The previous prime is 293021. The next prime is 293071. The reversal of 293049 is 940392.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 17424 = 525^2 + 132^2 .

It is not a de Polignac number, because 293049 - 27 = 292921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (293099) 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, 16272 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (70551).

293049 is a Friedman number, since it can be written as 402*9^3-9, using all its digits and the basic arithmetic operations.

2293049 is an apocalyptic number.

It is an amenable number.

293049 is a deficient number, since it is larger than the sum of its proper divisors (130257).

293049 is a wasteful number, since it uses less digits than its factorization.

293049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32567 (or 32564 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 293049 is about 541.3400040640. The cubic root of 293049 is about 66.4222242585.

The spelling of 293049 in words is "two hundred ninety-three thousand, forty-nine".

Divisors: 1 3 9 32561 97683 293049