Search a number
-
+
16748048 = 242371641
BaseRepresentation
bin111111111000…
…111000010000
31011111220000002
4333320320100
513241414143
61354545132
7262233062
oct77707020
934456002
1016748048
1194aa069
1257381a8
1336151b5
14231d732
15170c5b8
hexff8e10

16748048 has 40 divisors (see below), whose sum is σ = 34390656. Its totient is φ = 7884800.

The previous prime is 16748041. The next prime is 16748059. The reversal of 16748048 is 84084761.

It is a super-3 number, since 3×167480483 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16748041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25808 + ... + 26448.

Almost surely, 216748048 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 16748048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195328).

16748048 is an abundant number, since it is smaller than the sum of its proper divisors (17642608).

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

16748048 is a wasteful number, since it uses less digits than its factorization.

16748048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 16748048 is about 4092.4379042326. The cubic root of 16748048 is about 255.8515578223.

The spelling of 16748048 in words is "sixteen million, seven hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 568 641 1136 1282 1633 2564 3266 5128 6532 10256 13064 14743 26128 29486 45511 58972 91022 117944 182044 235888 364088 728176 1046753 2093506 4187012 8374024 16748048