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68532576 = 2537217857
BaseRepresentation
bin1000001010110…
…11100101100000
311202221211000120
410011123211200
5120021020301
610444520240
71461342300
oct405334540
9152854016
1068532576
11357595a2
121ab50080
1311276928
14915d600
15603ae36
hex415b960

68532576 has 144 divisors (see below), whose sum is σ = 221837616. Its totient is φ = 18407424.

The previous prime is 68532517. The next prime is 68532577. The reversal of 68532576 is 67523586.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68532577) 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 23 ways as a sum of consecutive naturals, for example, 79540 + ... + 80396.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 268532576 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 68532576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918808).

68532576 is an abundant number, since it is smaller than the sum of its proper divisors (153305040).

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

68532576 is a wasteful number, since it uses less digits than its factorization.

68532576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 68532576 is about 8278.4404328352. The cubic root of 68532576 is about 409.2283244403.

The spelling of 68532576 in words is "sixty-eight million, five hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 857 952 1176 1428 1568 1632 1666 1714 1904 2352 2499 2571 2856 3332 3428 3808 4704 4998 5142 5712 5999 6664 6856 9996 10284 11424 11998 13328 13712 14569 17997 19992 20568 23996 26656 27424 29138 35994 39984 41136 41993 43707 47992 58276 71988 79968 82272 83986 87414 95984 101983 116552 125979 143976 167972 174828 191968 203966 233104 251958 287952 305949 335944 349656 407932 466208 503916 575904 611898 671888 699312 713881 815864 1007832 1223796 1343776 1398624 1427762 1631728 2015664 2141643 2447592 2855524 3263456 4031328 4283286 4895184 5711048 8566572 9790368 11422096 17133144 22844192 34266288 68532576