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55161090 = 232517311163
BaseRepresentation
bin1101001001101…
…1000100000010
310211210110210100
43102123010002
5103110123330
65250143230
71236601335
oct322330402
9124713710
1055161090
1129156386
1216581b16
13b5745ca
14747c61c
154c99060
hex349b102

55161090 has 96 divisors (see below), whose sum is σ = 156888576. Its totient is φ = 13386240.

The previous prime is 55161089. The next prime is 55161091. The reversal of 55161090 is 9016155.

55161090 is a `hidden beast` number, since 551 + 6 + 109 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55161089) and next prime (55161091).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55161091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46849 + ... + 48011.

It is an arithmetic number, because the mean of its divisors is an integer number (1634256).

Almost surely, 255161090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55161090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78444288).

55161090 is an abundant number, since it is smaller than the sum of its proper divisors (101727486).

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

55161090 is a wasteful number, since it uses less digits than its factorization.

55161090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 55161090 is about 7427.0512318147. The cubic root of 55161090 is about 380.6661675809. Note that the first 3 decimals are identical.

The spelling of 55161090 in words is "fifty-five million, one hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1163 1395 1530 1581 2326 2635 2790 3162 3489 4743 5270 5815 6978 7905 9486 10467 11630 15810 17445 19771 20934 23715 34890 36053 39542 47430 52335 59313 72106 98855 104670 108159 118626 177939 180265 197710 216318 296565 324477 355878 360530 540795 593130 612901 648954 889695 1081590 1225802 1622385 1779390 1838703 3064505 3244770 3677406 5516109 6129010 9193515 11032218 18387030 27580545 55161090