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19148896 = 2513191241
BaseRepresentation
bin100100100001…
…1000001100000
31100000212100101
41021003001200
514400231041
61522232144
7321522454
oct111030140
940025311
1019148896
11a899938
1264b5654
133c75c10
142786664
151a33b31
hex1243060

19148896 has 48 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 8755200.

The previous prime is 19148887. The next prime is 19148897. The reversal of 19148896 is 69884191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19148897) by changing a digit.

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, 79336 + ... + 79576.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 219148896 is an apocalyptic number.

19148896 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 19148896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

19148896 is an abundant number, since it is smaller than the sum of its proper divisors (21832352).

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

19148896 is a wasteful number, since it uses less digits than its factorization.

19148896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 19148896 is about 4375.9451550494. The cubic root of 19148896 is about 267.5353946236.

It can be divided in two parts, 191 and 48896, that multiplied together give a square (9339136 = 30562).

The spelling of 19148896 in words is "nineteen million, one hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 241 382 416 482 764 964 1528 1928 2483 3056 3133 3856 4966 6112 6266 7712 9932 12532 19864 25064 39728 46031 50128 79456 92062 100256 184124 368248 598403 736496 1196806 1472992 2393612 4787224 9574448 19148896