Search a number
-
+
16949088 = 253413503
BaseRepresentation
bin100000010100…
…1111101100000
31011220002210000
41000221331200
513314332323
61403140000
7264031152
oct100517540
934802700
1016949088
119627112
125814600
133685860
142372ad2
15174be43
hex1029f60

16949088 has 120 divisors (see below), whose sum is σ = 53787888. Its totient is φ = 5204736.

The previous prime is 16949087. The next prime is 16949099. The reversal of 16949088 is 88094961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16949081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33445 + ... + 33947.

Almost surely, 216949088 is an apocalyptic number.

16949088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16949088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893944).

16949088 is an abundant number, since it is smaller than the sum of its proper divisors (36838800).

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

16949088 is a wasteful number, since it uses less digits than its factorization.

16949088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 16949088 is about 4116.9270093117. The cubic root of 16949088 is about 256.8712179101.

The spelling of 16949088 in words is "sixteen million, nine hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 503 624 648 702 864 936 1006 1053 1248 1296 1404 1509 1872 2012 2106 2592 2808 3018 3744 4024 4212 4527 5616 6036 6539 8048 8424 9054 11232 12072 13078 13581 16096 16848 18108 19617 24144 26156 27162 33696 36216 39234 40743 48288 52312 54324 58851 72432 78468 81486 104624 108648 117702 144864 156936 162972 176553 209248 217296 235404 313872 325944 353106 434592 470808 529659 627744 651888 706212 941616 1059318 1303776 1412424 1883232 2118636 2824848 4237272 5649696 8474544 16949088