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867468896 = 25724116069
BaseRepresentation
bin110011101101001…
…000011001100000
32020110021222121122
4303231020121200
53234033001041
6222024511412
730332235560
oct6355103140
92213258548
10867468896
11405733248
1220261b568
1310a946608
14832ccda0
1551252c4b
hex33b48660

867468896 has 48 divisors (see below), whose sum is σ = 1960025760. Its totient is φ = 370206720.

The previous prime is 867468893. The next prime is 867468937. The reversal of 867468896 is 698864768.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867468893) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45950 + ... + 62018.

It is an arithmetic number, because the mean of its divisors is an integer number (40833870).

Almost surely, 2867468896 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 867468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980012880).

867468896 is an abundant number, since it is smaller than the sum of its proper divisors (1092556864).

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

867468896 is a wasteful number, since it uses less digits than its factorization.

867468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16327 (or 16319 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 62.

The square root of 867468896 is about 29452.8249239356. The cubic root of 867468896 is about 953.7135886156.

The spelling of 867468896 in words is "eight hundred sixty-seven million, four hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 482 964 1687 1928 3374 3856 6748 7712 13496 16069 26992 32138 53984 64276 112483 128552 224966 257104 449932 514208 899864 1799728 3599456 3872629 7745258 15490516 27108403 30981032 54216806 61962064 108433612 123924128 216867224 433734448 867468896