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68514048 = 2832131227
BaseRepresentation
bin1000001010101…
…11000100000000
311202220212121100
410011113010000
5120014422143
610444254400
71461234261
oct405270400
9152825540
1068514048
1135746689
121ab41400
131126b375
149156968
1560356d3
hex4157100

68514048 has 108 divisors (see below), whose sum is σ = 199927728. Its totient is φ = 22563840.

The previous prime is 68514013. The next prime is 68514049. The reversal of 68514048 is 84041586.

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

It is not an unprimeable number, because it can be changed into a prime (68514049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301711 + ... + 301937.

Almost surely, 268514048 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 68514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99963864).

68514048 is an abundant number, since it is smaller than the sum of its proper divisors (131413680).

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

68514048 is a wasteful number, since it uses less digits than its factorization.

68514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68514048 is about 8277.3213058332. The cubic root of 68514048 is about 409.1914423898.

The spelling of 68514048 in words is "sixty-eight million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 227 256 262 288 384 393 454 524 576 681 768 786 908 1048 1152 1179 1362 1572 1816 2043 2096 2304 2358 2724 3144 3632 4086 4192 4716 5448 6288 7264 8172 8384 9432 10896 12576 14528 16344 16768 18864 21792 25152 29056 29737 32688 33536 37728 43584 50304 58112 59474 65376 75456 87168 89211 100608 118948 130752 150912 174336 178422 237896 261504 267633 301824 356844 475792 523008 535266 713688 951584 1070532 1427376 1903168 2141064 2854752 3806336 4282128 5709504 7612672 8564256 11419008 17128512 22838016 34257024 68514048