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868115448 = 233331112923
BaseRepresentation
bin110011101111100…
…110001111111000
32020111111211112000
4303233212033320
53234214143243
6222050421000
730340600554
oct6357461770
92214454460
10868115448
11406034a92
12202891760
1310ab119a5
148341a864
155132e5d3
hex33be63f8

868115448 has 64 divisors (see below), whose sum is σ = 2419372800. Its totient is φ = 288419040.

The previous prime is 868115447. The next prime is 868115471. The reversal of 868115448 is 844511868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868115441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60715 + ... + 73637.

It is an arithmetic number, because the mean of its divisors is an integer number (37802700).

Almost surely, 2868115448 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 868115448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209686400).

868115448 is an abundant number, since it is smaller than the sum of its proper divisors (1551257352).

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

868115448 is a wasteful number, since it uses less digits than its factorization.

868115448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13239 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 868115448 is about 29463.7989403946. The cubic root of 868115448 is about 953.9504740715.

The spelling of 868115448 in words is "eight hundred sixty-eight million, one hundred fifteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 933 1244 1866 2488 2799 3732 5598 7464 8397 11196 12923 16794 22392 25846 33588 38769 51692 67176 77538 103384 116307 155076 232614 310152 348921 465228 697842 930456 1395684 2791368 4019053 8038106 12057159 16076212 24114318 32152424 36171477 48228636 72342954 96457272 108514431 144685908 217028862 289371816 434057724 868115448