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68746392 = 233211213607
BaseRepresentation
bin1000001100011…
…11110010011000
311210100200022200
410012033302120
5120044341032
610453250200
71463222541
oct406176230
9153320280
1068746392
1135895200
121b033960
1311320050
1491b74c8
15607e47c
hex418fc98

68746392 has 144 divisors (see below), whose sum is σ = 220758720. Its totient is φ = 19198080.

The previous prime is 68746373. The next prime is 68746399. The reversal of 68746392 is 29364786.

68746392 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 639 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68746399) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112953 + ... + 113559.

Almost surely, 268746392 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 68746392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110379360).

68746392 is an abundant number, since it is smaller than the sum of its proper divisors (152012328).

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

68746392 is a wasteful number, since it uses less digits than its factorization.

68746392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 636 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 68746392 is about 8291.3444024477. The cubic root of 68746392 is about 409.6534688449.

The spelling of 68746392 in words is "sixty-eight million, seven hundred forty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 198 234 242 264 286 312 363 396 429 468 484 572 607 726 792 858 936 968 1089 1144 1214 1287 1452 1573 1716 1821 2178 2428 2574 2904 3146 3432 3642 4356 4719 4856 5148 5463 6292 6677 7284 7891 8712 9438 10296 10926 12584 13354 14157 14568 15782 18876 20031 21852 23673 26708 28314 31564 37752 40062 43704 47346 53416 56628 60093 63128 71019 73447 80124 86801 94692 113256 120186 142038 146894 160248 173602 189384 220341 240372 260403 284076 293788 347204 440682 480744 520806 568152 587576 661023 694408 781209 881364 954811 1041612 1322046 1562418 1762728 1909622 2083224 2644092 2864433 3124836 3819244 5288184 5728866 6249672 7638488 8593299 11457732 17186598 22915464 34373196 68746392