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823248132 = 223728334631
BaseRepresentation
bin110001000100011…
…100010100000100
32010101002100010120
4301010130110010
53141222420012
6213405021540
726254331220
oct6104342404
92111070116
10823248132
1139277a563
121ab8548b0
13101732895
147b49b780
154c41a58c
hex3111c504

823248132 has 48 divisors (see below), whose sum is σ = 2203149312. Its totient is φ = 234375840.

The previous prime is 823248119. The next prime is 823248133. The reversal of 823248132 is 231842328.

It is a junction number, because it is equal to n+sod(n) for n = 823248093 and 823248102.

It is not an unprimeable number, because it can be changed into a prime (823248133) 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, 6457 + ... + 41087.

It is an arithmetic number, because the mean of its divisors is an integer number (45898944).

Almost surely, 2823248132 is an apocalyptic number.

It is an amenable number.

823248132 is an abundant number, since it is smaller than the sum of its proper divisors (1379901180).

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

823248132 is a wasteful number, since it uses less digits than its factorization.

823248132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34928 (or 34926 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 823248132 is about 28692.3009185391. The cubic root of 823248132 is about 937.2243957153.

The spelling of 823248132 in words is "eight hundred twenty-three million, two hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 283 566 849 1132 1698 1981 3396 3962 5943 7924 11886 23772 34631 69262 103893 138524 207786 242417 415572 484834 727251 969668 1454502 2909004 9800573 19601146 29401719 39202292 58803438 68604011 117606876 137208022 205812033 274416044 411624066 823248132