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825115148 = 2211131442509
BaseRepresentation
bin110001001011100…
…100001000001100
32010111121012012022
4301023210020030
53142212141043
6213513025312
726306235344
oct6113441014
92114535168
10825115148
11393835250
121b03b5238
13101c37620
147b825d24
154c688868
hex312e420c

825115148 has 24 divisors (see below), whose sum is σ = 1696391760. Its totient is φ = 346201920.

The previous prime is 825115141. The next prime is 825115171. The reversal of 825115148 is 841511528.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (825115141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720683 + ... + 721826.

It is an arithmetic number, because the mean of its divisors is an integer number (70682990).

Almost surely, 2825115148 is an apocalyptic number.

It is an amenable number.

825115148 is an abundant number, since it is smaller than the sum of its proper divisors (871276612).

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

825115148 is a wasteful number, since it uses less digits than its factorization.

825115148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442537 (or 1442535 counting only the distinct ones).

The product of its digits is 12800, while the sum is 35.

The square root of 825115148 is about 28724.8176321452. The cubic root of 825115148 is about 937.9323604055.

The spelling of 825115148 in words is "eight hundred twenty-five million, one hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 1442509 2885018 5770036 15867599 18752617 31735198 37505234 63470396 75010468 206278787 412557574 825115148