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68242656 = 2532331997
BaseRepresentation
bin1000001000101…
…00110011100000
311202102002022210
410010110303200
5114432231111
610434402120
71456024116
oct404246340
9152362283
1068242656
1135580799
121aa30340
13111a4991
1490c5ab6
155ed00a6
hex4114ce0

68242656 has 96 divisors (see below), whose sum is σ = 193148928. Its totient is φ = 21035520.

The previous prime is 68242639. The next prime is 68242667. The reversal of 68242656 is 65624286.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 67950 + ... + 68946.

It is an arithmetic number, because the mean of its divisors is an integer number (2011968).

Almost surely, 268242656 is an apocalyptic number.

68242656 is the 4416-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96574464).

68242656 is an abundant number, since it is smaller than the sum of its proper divisors (124906272).

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

68242656 is a wasteful number, since it uses less digits than its factorization.

68242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 68242656 is about 8260.9113298715. The cubic root of 68242656 is about 408.6504426986.

The spelling of 68242656 in words is "sixty-eight million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 997 1104 1426 1488 1994 2139 2208 2852 2976 2991 3988 4278 5704 5982 7976 8556 11408 11964 15952 17112 22816 22931 23928 30907 31904 34224 45862 47856 61814 68448 68793 91724 92721 95712 123628 137586 183448 185442 247256 275172 366896 370884 494512 550344 710861 733792 741768 989024 1100688 1421722 1483536 2132583 2201376 2843444 2967072 4265166 5686888 8530332 11373776 17060664 22747552 34121328 68242656