Search a number
-
+
19809248 = 2519311051
BaseRepresentation
bin100101110010…
…0001111100000
31101021102011212
41023210033200
520032343443
61544325252
7330242624
oct113441740
941242155
1019809248
11101aaa88
126773828
134147664
1428b9184
151b14618
hex12e43e0

19809248 has 48 divisors (see below), whose sum is σ = 42416640. Its totient is φ = 9072000.

The previous prime is 19809247. The next prime is 19809259. The reversal of 19809248 is 84290891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19809247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18323 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (883680).

Almost surely, 219809248 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 19809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21208320).

19809248 is an abundant number, since it is smaller than the sum of its proper divisors (22607392).

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

19809248 is a wasteful number, since it uses less digits than its factorization.

19809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 19809248 is about 4450.7581376660. The cubic root of 19809248 is about 270.5760358339.

The spelling of 19809248 in words is "nineteen million, eight hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1051 1178 2102 2356 4204 4712 8408 9424 16816 18848 19969 32581 33632 39938 65162 79876 130324 159752 260648 319504 521296 619039 639008 1042592 1238078 2476156 4952312 9904624 19809248