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68482176 = 273773349
BaseRepresentation
bin1000001010011…
…11010010000000
311202212020212220
410011033102000
5120012412201
610443451040
71461042330
oct405172200
9152766786
1068482176
1135724744
121ab26a80
13112599c9
1491490c0
15602b036
hex414f480

68482176 has 128 divisors (see below), whose sum is σ = 211344000. Its totient is φ = 19243008.

The previous prime is 68482159. The next prime is 68482189. The reversal of 68482176 is 67128486.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196050 + ... + 196398.

It is an arithmetic number, because the mean of its divisors is an integer number (1651125).

Almost surely, 268482176 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 68482176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105672000).

68482176 is an abundant number, since it is smaller than the sum of its proper divisors (142861824).

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

68482176 is a wasteful number, since it uses less digits than its factorization.

68482176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 68482176 is about 8275.3958213490. The cubic root of 68482176 is about 409.1279820589.

The spelling of 68482176 in words is "sixty-eight million, four hundred eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 349 384 438 448 511 584 672 698 876 896 1022 1047 1168 1344 1396 1533 1752 2044 2094 2336 2443 2688 2792 3066 3504 4088 4188 4672 4886 5584 6132 7008 7329 8176 8376 9344 9772 11168 12264 14016 14658 16352 16752 19544 22336 24528 25477 28032 29316 32704 33504 39088 44672 49056 50954 58632 65408 67008 76431 78176 98112 101908 117264 134016 152862 156352 178339 196224 203816 234528 305724 312704 356678 407632 469056 535017 611448 713356 815264 938112 1070034 1222896 1426712 1630528 2140068 2445792 2853424 3261056 4280136 4891584 5706848 8560272 9783168 11413696 17120544 22827392 34241088 68482176