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68588416 = 271347877
BaseRepresentation
bin1000001011010…
…01001110000000
311210001122121201
410011221032000
5120024312131
610450030544
71461664141
oct405511600
9153048551
1068588416
1135797546
121ab78454
1311296180
149175ac8
15604c761
hex4169380

68588416 has 64 divisors (see below), whose sum is σ = 150454080. Its totient is φ = 30947328.

The previous prime is 68588411. The next prime is 68588437. The reversal of 68588416 is 61488586.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68588411) 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, 77770 + ... + 78646.

It is an arithmetic number, because the mean of its divisors is an integer number (2350845).

Almost surely, 268588416 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 68588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75227040).

68588416 is an abundant number, since it is smaller than the sum of its proper divisors (81865664).

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

68588416 is a wasteful number, since it uses less digits than its factorization.

68588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 68588416 is about 8281.8123620377. The cubic root of 68588416 is about 409.3394399973.

The spelling of 68588416 in words is "sixty-eight million, five hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 877 1222 1504 1664 1754 2444 3008 3508 4888 6016 7016 9776 11401 14032 19552 22802 28064 39104 41219 45604 56128 78208 82438 91208 112256 164876 182416 329752 364832 535847 659504 729664 1071694 1319008 1459328 2143388 2638016 4286776 5276032 8573552 17147104 34294208 68588416