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78608 = 24173
BaseRepresentation
bin10011001100010000
310222211102
4103030100
510003413
61403532
7445115
oct231420
9128742
1078608
1154072
12395a8
1329a1a
142090c
1518458
hex13310

78608 has 20 divisors (see below), whose sum is σ = 161820. Its totient is φ = 36992.

The previous prime is 78607. The next prime is 78623. The reversal of 78608 is 80687.

It can be divided in two parts, 78 and 608, that added together give a palindrome (686).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 35344 = 208^2 + 188^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78608.

It is not an unprimeable number, because it can be changed into a prime (78607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4616 + ... + 4632.

It is an arithmetic number, because the mean of its divisors is an integer number (8091).

278608 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 78608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80910).

78608 is an abundant number, since it is smaller than the sum of its proper divisors (83212).

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

78608 is an equidigital number, since it uses as much as digits as its factorization.

78608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 78608 is about 280.3711825420. The cubic root of 78608 is about 42.8373156964.

The spelling of 78608 in words is "seventy-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 4913 9826 19652 39304 78608