Search a number
-
+
68864796 = 22337311132
BaseRepresentation
bin1000001101011…
…00101100011100
311210120200202000
410012230230130
5120112133141
610500002300
71464225000
oct406545434
9153520660
1068864796
1135966160
121b090390
1311361c00
149208700
1560a45b6
hex41acb1c

68864796 has 288 divisors, whose sum is σ = 245952000. Its totient is φ = 16511040.

The previous prime is 68864767. The next prime is 68864813. The reversal of 68864796 is 69746886.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3483648) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5297286 + ... + 5297298.

It is an arithmetic number, because the mean of its divisors is an integer number (854000).

Almost surely, 268864796 is an apocalyptic number.

68864796 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68864796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976000).

68864796 is an abundant number, since it is smaller than the sum of its proper divisors (177087204).

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

68864796 is a wasteful number, since it uses less digits than its factorization.

68864796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 68864796 is about 8298.4815478496. The cubic root of 68864796 is about 409.8885201571. Note that the first 3 decimals are identical.

The spelling of 68864796 in words is "sixty-eight million, eight hundred sixty-four thousand, seven hundred ninety-six".