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828973896 = 233612632153
BaseRepresentation
bin110001011010010…
…010001101001000
32010202212020101220
4301122102031020
53144204131041
6214131442040
726354106342
oct6132221510
92122766356
10828973896
11395a303a3
121b1756320
13102988aca
147c14c292
154cb9bd66
hex31692348

828973896 has 64 divisors (see below), whose sum is σ = 2115400320. Its totient is φ = 270635520.

The previous prime is 828973877. The next prime is 828973897. The reversal of 828973896 is 698379828.

It is not an unprimeable number, because it can be changed into a prime (828973897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383956 + ... + 386108.

It is an arithmetic number, because the mean of its divisors is an integer number (33053130).

Almost surely, 2828973896 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 828973896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057700160).

828973896 is an abundant number, since it is smaller than the sum of its proper divisors (1286426424).

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

828973896 is a wasteful number, since it uses less digits than its factorization.

828973896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2482 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 828973896 is about 28791.9067795101. The cubic root of 828973896 is about 939.3922040409.

The spelling of 828973896 in words is "eight hundred twenty-eight million, nine hundred seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 263 366 488 526 732 789 1052 1464 1578 2104 2153 3156 4306 6312 6459 8612 12918 16043 17224 25836 32086 48129 51672 64172 96258 128344 131333 192516 262666 385032 393999 525332 566239 787998 1050664 1132478 1575996 1698717 2264956 3151992 3397434 4529912 6794868 13589736 34540579 69081158 103621737 138162316 207243474 276324632 414486948 828973896