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68459076 = 2232721972
BaseRepresentation
bin1000001010010…
…01101001000100
311202211002012100
410011021221010
5120011142301
610443152100
71460615100
oct405115104
9152732170
1068459076
1135709354
121ab15630
131124c33a
149140900
156024286
hex4149a44

68459076 has 81 divisors (see below), whose sum is σ = 202329309. Its totient is φ = 19460448.

The previous prime is 68459009. The next prime is 68459081. The reversal of 68459076 is 67095486.

The square root of 68459076 is 8274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 1382976 = 8190^2 + 1176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347410 + ... + 347606.

Almost surely, 268459076 is an apocalyptic number.

68459076 is the 8274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68459076

68459076 is an abundant number, since it is smaller than the sum of its proper divisors (133870233).

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

68459076 is a wasteful number, since it uses less digits than its factorization.

68459076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 68459076 is about 409.0819753470.

The spelling of 68459076 in words is "sixty-eight million, four hundred fifty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 197 252 294 394 441 588 591 788 882 1182 1379 1764 1773 2364 2758 3546 4137 5516 7092 8274 9653 12411 16548 19306 24822 28959 38612 38809 49644 57918 77618 86877 115836 116427 155236 173754 232854 271663 347508 349281 465708 543326 698562 814989 1086652 1397124 1629978 1901641 2444967 3259956 3803282 4889934 5704923 7606564 9779868 11409846 17114769 22819692 34229538 68459076