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59216 = 243701
BaseRepresentation
bin1110011101010000
310000020012
432131100
53343331
61134052
7334433
oct163520
9100205
1059216
1140543
122a328
1320c51
141781a
151282b
hexe750

59216 has 10 divisors (see below), whose sum is σ = 114762. Its totient is φ = 29600.

The previous prime is 59209. The next prime is 59219. The reversal of 59216 is 61295.

59216 is nontrivially palindromic in base 7.

59216 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 only one way, i.e., 48400 + 10816 = 220^2 + 104^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 59191 and 59200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59216.

It is not an unprimeable number, because it can be changed into a prime (59219) by changing a digit.

59216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1835 + ... + 1866.

259216 is an apocalyptic number.

It is an amenable number.

59216 is a deficient number, since it is larger than the sum of its proper divisors (55546).

59216 is a wasteful number, since it uses less digits than its factorization.

59216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3703 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 59216 is about 243.3433787881. The cubic root of 59216 is about 38.9774140537.

The spelling of 59216 in words is "fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 3701 7402 14804 29608 59216