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68661792 = 2532298221
BaseRepresentation
bin1000001011110…
…11001000100000
311210012101021100
410011323020200
5120034134132
610451354400
71462421103
oct405731040
9153171240
1068661792
1135837691
121abb2a00
13112c06a4
14919473a
15606437c
hex417b220

68661792 has 72 divisors (see below), whose sum is σ = 202014540. Its totient is φ = 22095360.

The previous prime is 68661787. The next prime is 68661811. The reversal of 68661792 is 29716686.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 5363856 = 7956^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4242 + ... + 12462.

Almost surely, 268661792 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 68661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101007270).

68661792 is an abundant number, since it is smaller than the sum of its proper divisors (133352748).

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

68661792 is a wasteful number, since it uses less digits than its factorization.

68661792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8255 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 68661792 is about 8286.2411261078. The cubic root of 68661792 is about 409.4853586432.

The spelling of 68661792 in words is "sixty-eight million, six hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8221 8352 16442 24663 32884 49326 65768 73989 98652 131536 147978 197304 238409 263072 295956 394608 476818 591912 715227 789216 953636 1183824 1430454 1907272 2145681 2367648 2860908 3814544 4291362 5721816 7629088 8582724 11443632 17165448 22887264 34330896 68661792