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825826350 = 235219072887
BaseRepresentation
bin110001001110010…
…001110000101110
32010112221022210010
4301032101300232
53142402420400
6213540154050
726315256666
oct6116216056
92115838703
10825826350
11394180618
121b0698926
1310212625b
147b96d1a6
154c779450
hex31391c2e

825826350 has 48 divisors (see below), whose sum is σ = 2049833088. Its totient is φ = 220028640.

The previous prime is 825826333. The next prime is 825826373. The reversal of 825826350 is 53628528.

It is a junction number, because it is equal to n+sod(n) for n = 825826299 and 825826308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284607 + ... + 287493.

It is an arithmetic number, because the mean of its divisors is an integer number (42704856).

Almost surely, 2825826350 is an apocalyptic number.

825826350 is an abundant number, since it is smaller than the sum of its proper divisors (1224006738).

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

825826350 is a wasteful number, since it uses less digits than its factorization.

825826350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 825826350 is about 28737.1945394814. The cubic root of 825826350 is about 938.2017643420.

The spelling of 825826350 in words is "eight hundred twenty-five million, eight hundred twenty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1907 2887 3814 5721 5774 8661 9535 11442 14435 17322 19070 28605 28870 43305 47675 57210 72175 86610 95350 143025 144350 216525 286050 433050 5505509 11011018 16516527 27527545 33033054 55055090 82582635 137637725 165165270 275275450 412913175 825826350