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68471424 = 2732721213
BaseRepresentation
bin1000001010011…
…00101010000000
311202211201010200
410011030222000
5120012041144
610443325200
71460666100
oct405145200
9152751120
1068471424
113571765a
121ab20800
1311254b48
149145200
156027c69
hex414ca80

68471424 has 144 divisors (see below), whose sum is σ = 229391370. Its totient is φ = 19547136.

The previous prime is 68471419. The next prime is 68471441. The reversal of 68471424 is 42417486.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 705600 = 8232^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55842 + ... + 57054.

Almost surely, 268471424 is an apocalyptic number.

68471424 is a gapful number since it is divisible by the number (64) 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 68471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114695685).

68471424 is an abundant number, since it is smaller than the sum of its proper divisors (160919946).

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

68471424 is a wasteful number, since it uses less digits than its factorization.

68471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1225 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 68471424 is about 8274.7461592486. The cubic root of 68471424 is about 409.1065693130.

The spelling of 68471424 in words is "sixty-eight million, four hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1213 1344 1568 1764 2016 2352 2426 2688 3136 3528 3639 4032 4704 4852 6272 7056 7278 8064 8491 9408 9704 10917 14112 14556 16982 18816 19408 21834 25473 28224 29112 33964 38816 43668 50946 56448 58224 59437 67928 76419 77632 87336 101892 116448 118874 135856 152838 155264 174672 178311 203784 232896 237748 271712 305676 349344 356622 407568 465792 475496 534933 543424 611352 698688 713244 815136 950992 1069866 1086848 1222704 1397376 1426488 1630272 1901984 2139732 2445408 2852976 3260544 3803968 4279464 4890816 5705952 7607936 8558928 9781632 11411904 17117856 22823808 34235712 68471424