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831950208 = 27326111839
BaseRepresentation
bin110001100101101…
…000110110000000
32010222110110010200
4301211220312000
53200434401313
6214315325200
726421313545
oct6145506600
92128413120
10831950208
11397683561
121b2750800
1310348b73b
147c6c4bcc
154d088b73
hex31968d80

831950208 has 96 divisors (see below), whose sum is σ = 2433475200. Its totient is φ = 272747520.

The previous prime is 831950201. The next prime is 831950213. The reversal of 831950208 is 802059138.

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

It is a super-2 number, since 2×8319502082 = 1384282297182486528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831950201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64353 + ... + 76191.

It is an arithmetic number, because the mean of its divisors is an integer number (25348700).

Almost surely, 2831950208 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 831950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216737600).

831950208 is an abundant number, since it is smaller than the sum of its proper divisors (1601524992).

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

831950208 is a wasteful number, since it uses less digits than its factorization.

831950208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 831950208 is about 28843.5470772927. The cubic root of 831950208 is about 940.5151122690.

The spelling of 831950208 in words is "eight hundred thirty-one million, nine hundred fifty thousand, two hundred eight".