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68228768 = 2531109631
BaseRepresentation
bin1000001000100…
…01011010100000
311202101101021102
410010101122200
5114431310033
610434213532
71455635456
oct404213240
9152341242
1068228768
1135571313
121aa242a8
131119b56a
1490c09d6
155ecade8
hex41116a0

68228768 has 48 divisors (see below), whose sum is σ = 140152320. Its totient is φ = 32659200.

The previous prime is 68228761. The next prime is 68228773. The reversal of 68228768 is 86782286.

It is not an unprimeable number, because it can be changed into a prime (68228761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107813 + ... + 108443.

It is an arithmetic number, because the mean of its divisors is an integer number (2919840).

Almost surely, 268228768 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 68228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70076160).

68228768 is an abundant number, since it is smaller than the sum of its proper divisors (71923552).

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

68228768 is a wasteful number, since it uses less digits than its factorization.

68228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 68228768 is about 8260.0707018766. The cubic root of 68228768 is about 408.6227194596.

Subtracting from 68228768 its sum of digits (47), we obtain a triangular number (68228721 = T11681).

The spelling of 68228768 in words is "sixty-eight million, two hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 109 124 218 248 436 496 631 872 992 1262 1744 2524 3379 3488 5048 6758 10096 13516 19561 20192 27032 39122 54064 68779 78244 108128 137558 156488 275116 312976 550232 625952 1100464 2132149 2200928 4264298 8528596 17057192 34114384 68228768