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825137244 = 2232191206341
BaseRepresentation
bin110001001011101…
…001100001011100
32010111122022111200
4301023221201130
53142213342434
6213513315500
726306356641
oct6113514134
92114568450
10825137244
1139384a908
121b0405b90
13101c446b9
147b82ddc8
154c690199
hex312e985c

825137244 has 36 divisors (see below), whose sum is σ = 2195542440. Its totient is φ = 260569440.

The previous prime is 825137239. The next prime is 825137251. The reversal of 825137244 is 442731528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 825137199 and 825137208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602487 + ... + 603854.

It is an arithmetic number, because the mean of its divisors is an integer number (60987290).

Almost surely, 2825137244 is an apocalyptic number.

It is an amenable number.

825137244 is an abundant number, since it is smaller than the sum of its proper divisors (1370405196).

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

825137244 is a wasteful number, since it uses less digits than its factorization.

825137244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206370 (or 1206365 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 825137244 is about 28725.2022447188. The cubic root of 825137244 is about 937.9407327192.

The spelling of 825137244 in words is "eight hundred twenty-five million, one hundred thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1206341 2412682 3619023 4825364 7238046 10857069 14476092 21714138 22920479 43428276 45840958 68761437 91681916 137522874 206284311 275045748 412568622 825137244