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825233046 = 231112798453
BaseRepresentation
bin110001001100000…
…000111010010110
32010111211011220220
4301030000322112
53142224424141
6213515335210
726310236151
oct6114007226
92114734826
10825233046
11393905890
121b0451506
13101c791a1
147b856c98
154c6ad766
hex31300e96

825233046 has 32 divisors (see below), whose sum is σ = 1814704128. Its totient is φ = 248099040.

The previous prime is 825233041. The next prime is 825233053. The reversal of 825233046 is 640332528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 825232998 and 825233016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825233041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40845 + ... + 57608.

It is an arithmetic number, because the mean of its divisors is an integer number (56709504).

Almost surely, 2825233046 is an apocalyptic number.

825233046 is an abundant number, since it is smaller than the sum of its proper divisors (989471082).

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

825233046 is a wasteful number, since it uses less digits than its factorization.

825233046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98596.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 825233046 is about 28726.8697563797. The cubic root of 825233046 is about 937.9770309719.

The spelling of 825233046 in words is "eight hundred twenty-five million, two hundred thirty-three thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 1397 2794 4191 8382 98453 196906 295359 590718 1082983 2165966 3248949 6497898 12503531 25007062 37510593 75021186 137538841 275077682 412616523 825233046