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68456096 = 2523281331
BaseRepresentation
bin1000001010010…
…00111010100000
311202210221002222
410011020322200
5120011043341
610443130212
71460603312
oct405107240
9152727088
1068456096
1135707095
121ab13968
131124ab87
14913d7b2
15602344b
hex4148ea0

68456096 has 48 divisors (see below), whose sum is σ = 141559488. Its totient is φ = 32524800.

The previous prime is 68456081. The next prime is 68456147. The reversal of 68456096 is 69065486.

It is a super-2 number, since 2×684560962 = 9372474159122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206651 + ... + 206981.

It is an arithmetic number, because the mean of its divisors is an integer number (2949156).

Almost surely, 268456096 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 68456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70779744).

68456096 is an abundant number, since it is smaller than the sum of its proper divisors (73103392).

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

68456096 is a wasteful number, since it uses less digits than its factorization.

68456096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 68456096 is about 8273.8199158551. The cubic root of 68456096 is about 409.0760395284.

The spelling of 68456096 in words is "sixty-eight million, four hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 281 331 368 562 662 736 1124 1324 2248 2648 4496 5296 6463 7613 8992 10592 12926 15226 25852 30452 51704 60904 93011 103408 121808 186022 206816 243616 372044 744088 1488176 2139253 2976352 4278506 8557012 17114024 34228048 68456096