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68249064 = 233131929397
BaseRepresentation
bin1000001000101…
…10010111101000
311202102102010010
410010112113220
5114432432224
610434451520
71456051602
oct404262750
9152372103
1068249064
1135585594
121aa33ba0
13111a7880
1490c8172
155ed1e29
hex41165e8

68249064 has 128 divisors (see below), whose sum is σ = 200592000. Its totient is φ = 19160064.

The previous prime is 68249063. The next prime is 68249089. The reversal of 68249064 is 46094286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (68249063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171714 + ... + 172110.

It is an arithmetic number, because the mean of its divisors is an integer number (1567125).

Almost surely, 268249064 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 68249064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296000).

68249064 is an abundant number, since it is smaller than the sum of its proper divisors (132342936).

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

68249064 is a wasteful number, since it uses less digits than its factorization.

68249064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68249064 is about 8261.2991714379. The cubic root of 68249064 is about 408.6632330863.

The spelling of 68249064 in words is "sixty-eight million, two hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 29 38 39 52 57 58 76 78 87 104 114 116 152 156 174 228 232 247 312 348 377 397 456 494 551 696 741 754 794 988 1102 1131 1191 1482 1508 1588 1653 1976 2204 2262 2382 2964 3016 3176 3306 4408 4524 4764 5161 5928 6612 7163 7543 9048 9528 10322 11513 13224 14326 15086 15483 20644 21489 22629 23026 28652 30172 30966 34539 41288 42978 45258 46052 57304 60344 61932 69078 85956 90516 92104 98059 123864 138156 149669 171912 181032 196118 218747 276312 294177 299338 392236 437494 449007 588354 598676 656241 784472 874988 898014 1176708 1197352 1312482 1749976 1796028 2353416 2624964 2843711 3592056 5249928 5687422 8531133 11374844 17062266 22749688 34124532 68249064