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16848096 = 253223787
BaseRepresentation
bin100000001000…
…1010011100000
31011200222020120
41000101103200
513303114341
61401040240
7263130546
oct100212340
934628216
1016848096
119568251
125786080
13364b8b5
142347d96
15172c066
hex10114e0

16848096 has 48 divisors (see below), whose sum is σ = 44481024. Its totient is φ = 5583744.

The previous prime is 16848049. The next prime is 16848103. The reversal of 16848096 is 69084861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21015 + ... + 21801.

It is an arithmetic number, because the mean of its divisors is an integer number (926688).

Almost surely, 216848096 is an apocalyptic number.

16848096 is a gapful number since it is divisible by the number (16) 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 16848096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240512).

16848096 is an abundant number, since it is smaller than the sum of its proper divisors (27632928).

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

16848096 is a wasteful number, since it uses less digits than its factorization.

16848096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 16848096 is about 4104.6432244472. The cubic root of 16848096 is about 256.3600078136.

The spelling of 16848096 in words is "sixteen million, eight hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 787 892 1338 1574 1784 2361 2676 3148 3568 4722 5352 6296 7136 9444 10704 12592 18888 21408 25184 37776 75552 175501 351002 526503 702004 1053006 1404008 2106012 2808016 4212024 5616032 8424048 16848096