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161941728 = 25313172449
BaseRepresentation
bin10011010011100…
…00100011100000
3102021201111021210
421221300203200
5312424113403
624022550120
74004324214
oct1151604340
9367644253
10161941728
1183459243
1246298340
1327720510
1417716944
15e33cb03
hex9a708e0

161941728 has 144 divisors (see below), whose sum is σ = 487393200. Its totient is φ = 46792704.

The previous prime is 161941723. The next prime is 161941729. The reversal of 161941728 is 827149161.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161941723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 360448 + ... + 360896.

It is an arithmetic number, because the mean of its divisors is an integer number (3384675).

Almost surely, 2161941728 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 161941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243696600).

161941728 is an abundant number, since it is smaller than the sum of its proper divisors (325451472).

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

161941728 is a wasteful number, since it uses less digits than its factorization.

161941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 161941728 is about 12725.6327151148. The cubic root of 161941728 is about 545.0708075103.

The spelling of 161941728 in words is "one hundred sixty-one million, nine hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 289 312 408 416 442 449 544 578 624 663 816 867 884 898 1156 1248 1326 1347 1632 1734 1768 1796 2312 2652 2694 3468 3536 3592 3757 4624 5304 5388 5837 6936 7072 7184 7514 7633 9248 10608 10776 11271 11674 13872 14368 15028 15266 17511 21216 21552 22542 22899 23348 27744 30056 30532 35022 43104 45084 45798 46696 60112 61064 70044 90168 91596 93392 99229 120224 122128 129761 140088 180336 183192 186784 198458 244256 259522 280176 297687 360672 366384 389283 396916 519044 560352 595374 732768 778566 793832 1038088 1190748 1557132 1587664 1686893 2076176 2381496 3114264 3175328 3373786 4152352 4762992 5060679 6228528 6747572 9525984 10121358 12457056 13495144 20242716 26990288 40485432 53980576 80970864 161941728