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872993792 = 21011174797
BaseRepresentation
bin110100000010001…
…101010000000000
32020211200200100102
4310002031100000
53241441300132
6222343141532
730430216256
oct6402152000
92224620312
10872993792
11408867180
122044448a8
1310bb2c298
1483d2a5d6
1551994c62
hex3408d400

872993792 has 176 divisors, whose sum is σ = 2079883008. Its totient is φ = 361758720.

The previous prime is 872993789. The next prime is 872993801. The reversal of 872993792 is 297399278.

It is a tau number, because it is divible by the number of its divisors (176).

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, 8999888 + ... + 8999984.

Almost surely, 2872993792 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 872993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039941504).

872993792 is an abundant number, since it is smaller than the sum of its proper divisors (1206889216).

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

872993792 is a wasteful number, since it uses less digits than its factorization.

872993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 56.

The square root of 872993792 is about 29546.4683507183. The cubic root of 872993792 is about 955.7340343098.

The spelling of 872993792 in words is "eight hundred seventy-two million, nine hundred ninety-three thousand, seven hundred ninety-two".