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295936 = 210172
BaseRepresentation
bin1001000010000000000
3120000221121
41020100000
533432221
610202024
72341534
oct1102000
9500847
10295936
11192383
12123314
13a4914
1479bc4
155ca41
hex48400

295936 has 33 divisors (see below), whose sum is σ = 628429. Its totient is φ = 139264.

The previous prime is 295909. The next prime is 295937. The reversal of 295936 is 639592.

It is a happy number.

The square root of 295936 is 544.

It is a perfect power (a square), and thus also a powerful number.

295936 is digitally balanced in base 3, 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., 230400 + 65536 = 480^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

Its product of digits (14580) is a multiple of the sum of its prime factors (54).

It is not an unprimeable number, because it can be changed into a prime (295937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17400 + ... + 17416.

295936 is a Friedman number, since it can be written as (639-95)^2, using all its digits and the basic arithmetic operations.

2295936 is an apocalyptic number.

295936 is the 544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295936

295936 is an abundant number, since it is smaller than the sum of its proper divisors (332493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

295936 is an equidigital number, since it uses as much as digits as its factorization.

295936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 19 counting only the distinct ones).

The product of its digits is 14580, while the sum is 34.

The cubic root of 295936 is about 66.6396334840.

The spelling of 295936 in words is "two hundred ninety-five thousand, nine hundred thirty-six".