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59296 = 2517109
BaseRepresentation
bin1110011110100000
310000100011
432132200
53344141
61134304
7334606
oct163640
9100304
1059296
1140606
122a394
1320cb3
1417876
1512881
hexe7a0

59296 has 24 divisors (see below), whose sum is σ = 124740. Its totient is φ = 27648.

The previous prime is 59281. The next prime is 59333. The reversal of 59296 is 69295.

59296 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 2 ways, for example, as 55696 + 3600 = 236^2 + 60^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 490 + ... + 598.

259296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62370).

59296 is an abundant number, since it is smaller than the sum of its proper divisors (65444).

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

59296 is a wasteful number, since it uses less digits than its factorization.

59296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 59296 is about 243.5077000836. The cubic root of 59296 is about 38.9949588049.

Subtracting 59296 from its reverse (69295), we obtain a palindrome (9999).

The spelling of 59296 in words is "fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 109 136 218 272 436 544 872 1744 1853 3488 3706 7412 14824 29648 59296