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68748576 = 25313311777
BaseRepresentation
bin1000001100100…
…00010100100000
311210100210022120
410012100110200
5120044423301
610453304240
71463232111
oct406202440
9153323276
1068748576
1135896906
121b035080
1311321040
1491b8208
15607ee36
hex4190520

68748576 has 96 divisors (see below), whose sum is σ = 200729088. Its totient is φ = 20459520.

The previous prime is 68748571. The next prime is 68748577. The reversal of 68748576 is 67584786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68748571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37800 + ... + 39576.

It is an arithmetic number, because the mean of its divisors is an integer number (2090928).

Almost surely, 268748576 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 68748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364544).

68748576 is an abundant number, since it is smaller than the sum of its proper divisors (131980512).

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

68748576 is a wasteful number, since it uses less digits than its factorization.

68748576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 68748576 is about 8291.4761050129. The cubic root of 68748576 is about 409.6578068845.

The spelling of 68748576 in words is "sixty-eight million, seven hundred forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 1777 2418 2976 3224 3554 4836 5331 6448 7108 9672 10662 12896 14216 19344 21324 23101 28432 38688 42648 46202 55087 56864 69303 85296 92404 110174 138606 165261 170592 184808 220348 277212 330522 369616 440696 554424 661044 716131 739232 881392 1108848 1322088 1432262 1762784 2148393 2217696 2644176 2864524 4296786 5288352 5729048 8593572 11458096 17187144 22916192 34374288 68748576