Search a number
-
+
68049432 = 233211273107
BaseRepresentation
bin1000000111001…
…01101000011000
311202001021021100
410003211220120
5114410040212
610430311400
71454260563
oct403455030
9152037240
1068049432
1135459600
121a958560
1311137a49
1490754da
155e92bdc
hex40e5a18

68049432 has 144 divisors (see below), whose sum is σ = 207272520. Its totient is φ = 20148480.

The previous prime is 68049413. The next prime is 68049473. The reversal of 68049432 is 23494086.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 635923 + ... + 636029.

Almost surely, 268049432 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 68049432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103636260).

68049432 is an abundant number, since it is smaller than the sum of its proper divisors (139223088).

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

68049432 is a wasteful number, since it uses less digits than its factorization.

68049432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68049432 is about 8249.2079619804. The cubic root of 68049432 is about 408.2643903410.

The spelling of 68049432 in words is "sixty-eight million, forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 107 121 132 146 198 214 219 242 264 292 321 363 396 428 438 484 584 642 657 726 792 803 856 876 963 968 1089 1177 1284 1314 1452 1606 1752 1926 2178 2354 2409 2568 2628 2904 3212 3531 3852 4356 4708 4818 5256 6424 7062 7227 7704 7811 8712 8833 9416 9636 10593 12947 14124 14454 15622 17666 19272 21186 23433 25894 26499 28248 28908 31244 35332 38841 42372 46866 51788 52998 57816 62488 70299 70664 77682 79497 84744 85921 93732 103576 105996 116523 140598 155364 158994 171842 187464 211992 233046 257763 281196 310728 317988 343684 466092 515526 562392 635976 687368 773289 932184 945131 1031052 1546578 1890262 2062104 2835393 3093156 3780524 5670786 6186312 7561048 8506179 11341572 17012358 22683144 34024716 68049432