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825108948 = 223222919693
BaseRepresentation
bin110001001011100…
…010100111010100
32010111120212200200
4301023202213110
53142211441243
6213512540500
726306211306
oct6113424724
92114525620
10825108948
11393830624
121b03b1730
13101c34861
147b823976
154c686ad3
hex312e29d4

825108948 has 18 divisors (see below), whose sum is σ = 2085692154. Its totient is φ = 275036304.

The previous prime is 825108883. The next prime is 825108961. The reversal of 825108948 is 849801528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 816359184 + 8749764 = 28572^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11459811 + ... + 11459882.

Almost surely, 2825108948 is an apocalyptic number.

It is an amenable number.

825108948 is an abundant number, since it is smaller than the sum of its proper divisors (1260583206).

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

825108948 is a wasteful number, since it uses less digits than its factorization.

825108948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22919703 (or 22919698 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 825108948 is about 28724.7097113269. The cubic root of 825108948 is about 937.9300111596.

The spelling of 825108948 in words is "eight hundred twenty-five million, one hundred eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 22919693 45839386 68759079 91678772 137518158 206277237 275036316 412554474 825108948