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68205948 = 22323376679
BaseRepresentation
bin1000001000010…
…11110101111100
311202100012222020
410010023311330
5114430042243
610433520140
71455512106
oct404136574
9152305866
1068205948
1135556158
121aa13050
1311191065
1490b6576
155ec4283
hex410bd7c

68205948 has 48 divisors (see below), whose sum is σ = 170580480. Its totient is φ = 21155904.

The previous prime is 68205923. The next prime is 68205959. The reversal of 68205948 is 84950286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6873 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (3553760).

Almost surely, 268205948 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 68205948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85290240).

68205948 is an abundant number, since it is smaller than the sum of its proper divisors (102374532).

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

68205948 is a wasteful number, since it uses less digits than its factorization.

68205948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 68205948 is about 8258.6892422466. The cubic root of 68205948 is about 408.5771579830.

The spelling of 68205948 in words is "sixty-eight million, two hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 6679 10212 13358 20037 26716 40074 80148 153617 247123 307234 460851 494246 614468 741369 921702 988492 1482738 1843404 2965476 5683829 11367658 17051487 22735316 34102974 68205948