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68239248 = 24371137499
BaseRepresentation
bin1000001000100…
…11111110010000
311202101220122120
410010103332100
5114432123443
610434334240
71456011150
oct404237620
9152356576
1068239248
1135579180
121aa2a380
13111a326c
1490c4760
155ece083
hex4113f90

68239248 has 160 divisors (see below), whose sum is σ = 226176000. Its totient is φ = 17210880.

The previous prime is 68239247. The next prime is 68239261. The reversal of 68239248 is 84293286.

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

It is not an unprimeable number, because it can be changed into a prime (68239243) 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, 136503 + ... + 137001.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600).

Almost surely, 268239248 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 68239248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088000).

68239248 is an abundant number, since it is smaller than the sum of its proper divisors (157936752).

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

68239248 is a wasteful number, since it uses less digits than its factorization.

68239248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 68239248 is about 8260.7050546548. The cubic root of 68239248 is about 408.6436399940.

The spelling of 68239248 in words is "sixty-eight million, two hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 499 518 528 592 616 777 814 888 924 998 1036 1221 1232 1497 1554 1628 1776 1848 1996 2072 2442 2849 2994 3108 3256 3493 3696 3992 4144 4884 5489 5698 5988 6216 6512 6986 7984 8547 9768 10479 10978 11396 11976 12432 13972 16467 17094 18463 19536 20958 21956 22792 23952 27944 32934 34188 36926 38423 41916 43912 45584 55389 55888 65868 68376 73852 76846 83832 87824 110778 115269 129241 131736 136752 147704 153692 167664 203093 221556 230538 258482 263472 295408 307384 387723 406186 443112 461076 516964 609279 614768 775446 812372 886224 922152 1033928 1218558 1421651 1550892 1624744 1844304 2067856 2437116 2843302 3101784 3249488 4264953 4874232 5686604 6203568 8529906 9748464 11373208 17059812 22746416 34119624 68239248