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68238192 = 24311231379
BaseRepresentation
bin1000001000100…
…11101101110000
311202101212012110
410010103231300
5114432110232
610434325320
71456005111
oct404235560
9152355173
1068238192
1135578400
121aa29840
13111a2939
1490c4208
155ecdacc
hex4113b70

68238192 has 120 divisors (see below), whose sum is σ = 200542720. Its totient is φ = 19958400.

The previous prime is 68238173. The next prime is 68238197. The reversal of 68238192 is 29183286.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 68238192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68238197) 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, 179859 + ... + 180237.

Almost surely, 268238192 is an apocalyptic number.

68238192 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68238192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100271360).

68238192 is an abundant number, since it is smaller than the sum of its proper divisors (132304528).

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

68238192 is a wasteful number, since it uses less digits than its factorization.

68238192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 68238192 is about 8260.6411373452. The cubic root of 68238192 is about 408.6415320677.

The spelling of 68238192 in words is "sixty-eight million, two hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 264 341 363 372 379 484 496 528 682 726 744 758 968 1023 1137 1364 1452 1488 1516 1936 2046 2274 2728 2904 3032 3751 4092 4169 4548 5456 5808 6064 7502 8184 8338 9096 11253 11749 12507 15004 16368 16676 18192 22506 23498 25014 30008 33352 35247 45012 45859 46996 50028 60016 66704 70494 90024 91718 93992 100056 129239 137577 140988 180048 183436 187984 200112 258478 275154 281976 366872 387717 516956 550308 563952 733744 775434 1033912 1100616 1421629 1550868 2067824 2201232 2843258 3101736 4264887 5686516 6203472 8529774 11373032 17059548 22746064 34119096 68238192