[go: up one dir, main page]

Search a number
-
+
68335488 = 2735133
BaseRepresentation
bin1000001001010…
…11011110000000
311202120210200000
410010223132000
5114443213423
610440400000
71456561554
oct404533600
9152523600
1068335488
1135634511
121aa76000
1311208000
14910b864
155eec843
hex412b780

68335488 has 192 divisors, whose sum is σ = 220911600. Its totient is φ = 21026304.

The previous prime is 68335459. The next prime is 68335499. The reversal of 68335488 is 88453386.

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 is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (552960) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5256570 + ... + 5256582.

Almost surely, 268335488 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 68335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110455800).

68335488 is an abundant number, since it is smaller than the sum of its proper divisors (152576112).

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

68335488 is an frugal number, since it uses more digits than its factorization.

68335488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 68335488 is about 8266.5281708829. The cubic root of 68335488 is about 408.8356574966.

It can be divided in two parts, 6833 and 5488, that added together give a palindrome (12321).

The spelling of 68335488 in words is "sixty-eight million, three hundred thirty-five thousand, four hundred eighty-eight".