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68849600 = 2652371163
BaseRepresentation
bin1000001101010…
…00111111000000
311210112220220012
410012220333000
5120111141400
610455404052
71464132461
oct406507700
9153486805
1068849600
11359557a6
121b083628
1311358011
149202d68
15609ed35
hex41a8fc0

68849600 has 84 divisors (see below), whose sum is σ = 174141384. Its totient is φ = 26772480.

The previous prime is 68849581. The next prime is 68849611. The reversal of 68849600 is 694886.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58619 + ... + 59781.

Almost surely, 268849600 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 68849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87070692).

68849600 is an abundant number, since it is smaller than the sum of its proper divisors (105291784).

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

68849600 is a wasteful number, since it uses less digits than its factorization.

68849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 68849600 is about 8297.5659081444. The cubic root of 68849600 is about 409.8583686888.

The spelling of 68849600 in words is "sixty-eight million, eight hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 200 296 320 370 400 592 740 800 925 1163 1184 1480 1600 1850 2326 2368 2960 3700 4652 5815 5920 7400 9304 11630 11840 14800 18608 23260 29075 29600 37216 43031 46520 58150 59200 74432 86062 93040 116300 172124 186080 215155 232600 344248 372160 430310 465200 688496 860620 930400 1075775 1376992 1721240 1860800 2151550 2753984 3442480 4303100 6884960 8606200 13769920 17212400 34424800 68849600