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823190742 = 233111385843
BaseRepresentation
bin110001000100001…
…110010011010110
32010100222102102000
4301010032103112
53141214100432
6213403500130
726254002003
oct6104162326
92110872360
10823190742
11392740430
121ab827646
1310171271a
147b4848aa
154c40857c
hex3110e4d6

823190742 has 32 divisors (see below), whose sum is σ = 1995615360. Its totient is φ = 249451560.

The previous prime is 823190717. The next prime is 823190873. The reversal of 823190742 is 247091328.

It is a junction number, because it is equal to n+sod(n) for n = 823190697 and 823190706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692328 + ... + 693515.

It is an arithmetic number, because the mean of its divisors is an integer number (62362980).

Almost surely, 2823190742 is an apocalyptic number.

823190742 is an abundant number, since it is smaller than the sum of its proper divisors (1172424618).

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

823190742 is a wasteful number, since it uses less digits than its factorization.

823190742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385865 (or 1385859 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 823190742 is about 28691.3008070391. The cubic root of 823190742 is about 937.2026167174.

The spelling of 823190742 in words is "eight hundred twenty-three million, one hundred ninety thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1385843 2771686 4157529 8315058 12472587 15244273 24945174 30488546 37417761 45732819 74835522 91465638 137198457 274396914 411595371 823190742