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823552136 = 231121137529
BaseRepresentation
bin110001000101100…
…110100010001000
32010101122210010222
4301011212202020
53141312132021
6213415325212
726260035431
oct6105464210
92111583128
10823552136
11392967a00
121ab980808
1310180b074
147b53a488
154c47a6ab
hex31166888

823552136 has 48 divisors (see below), whose sum is σ = 1712547900. Its totient is φ = 370979840.

The previous prime is 823552129. The next prime is 823552153. The reversal of 823552136 is 631255328.

It can be written as a sum of positive squares in 2 ways, for example, as 691164100 + 132388036 = 26290^2 + 11506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 823552096 and 823552105.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105620 + ... + 113148.

Almost surely, 2823552136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823552136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856273950).

823552136 is an abundant number, since it is smaller than the sum of its proper divisors (888995764).

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

823552136 is a wasteful number, since it uses less digits than its factorization.

823552136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7655 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 823552136 is about 28697.5980876449. The cubic root of 823552136 is about 937.3397456688.

The spelling of 823552136 in words is "eight hundred twenty-three million, five hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 904 968 1243 2486 4972 7529 9944 13673 15058 27346 30116 54692 60232 82819 109384 165638 331276 662552 850777 911009 1701554 1822018 3403108 3644036 6806216 7288072 9358547 18717094 37434188 74868376 102944017 205888034 411776068 823552136