Search a number
-
+
68862528 = 263375693
BaseRepresentation
bin1000001101011…
…00001001000000
311210120120122000
410012230021000
5120112100103
610455544000
71464215250
oct406541100
9153516560
1068862528
1135964489
121b08b000
1311360b77
149207960
1560a3aa3
hex41ac240

68862528 has 112 divisors (see below), whose sum is σ = 231404160. Its totient is φ = 19671552.

The previous prime is 68862509. The next prime is 68862569. The reversal of 68862528 is 82526886.

68862528 is a `hidden beast` number, since 68 + 8 + 62 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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, 9250 + ... + 14942.

Almost surely, 268862528 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 68862528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115702080).

68862528 is an abundant number, since it is smaller than the sum of its proper divisors (162541632).

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

68862528 is a wasteful number, since it uses less digits than its factorization.

68862528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5705 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 68862528 is about 8298.3448952186. The cubic root of 68862528 is about 409.8840203381.

The spelling of 68862528 in words is "sixty-eight million, eight hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5693 6048 11386 12096 17079 22772 34158 39851 45544 51237 68316 79702 91088 102474 119553 136632 153711 159404 182176 204948 239106 273264 307422 318808 358659 364352 409896 478212 546528 614844 637616 717318 819792 956424 1075977 1093056 1229688 1275232 1434636 1639584 1912848 2151954 2459376 2550464 2869272 3279168 3825696 4303908 4918752 5738544 7651392 8607816 9837504 11477088 17215632 22954176 34431264 68862528