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161942382 = 23372571667
BaseRepresentation
bin10011010011100…
…00101101101110
3102021201112012000
421221300231232
5312424124012
624022553130
74004326140
oct1151605556
9367645160
10161942382
1183459788
12462987a6
13277208c4
1417716c90
15e33cddc
hex9a70b6e

161942382 has 64 divisors (see below), whose sum is σ = 413130240. Its totient is φ = 46061568.

The previous prime is 161942381. The next prime is 161942383. The reversal of 161942382 is 283249161.

161942382 is a `hidden beast` number, since 1 + 619 + 4 + 2 + 38 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161942381) and next prime (161942383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161942381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96313 + ... + 97979.

It is an arithmetic number, because the mean of its divisors is an integer number (6455160).

Almost surely, 2161942382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161942382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206565120).

161942382 is an abundant number, since it is smaller than the sum of its proper divisors (251187858).

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

161942382 is a wasteful number, since it uses less digits than its factorization.

161942382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1936 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 161942382 is about 12725.6584112572. The cubic root of 161942382 is about 545.0715412636.

The spelling of 161942382 in words is "one hundred sixty-one million, nine hundred forty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 257 378 514 771 1542 1667 1799 2313 3334 3598 4626 5001 5397 6939 10002 10794 11669 13878 15003 16191 23338 30006 32382 35007 45009 48573 70014 90018 97146 105021 210042 315063 428419 630126 856838 1285257 2570514 2998933 3855771 5997866 7711542 8996799 11567313 17993598 23134626 26990397 53980794 80971191 161942382