Search a number
-
+
19392048 = 2434131151
BaseRepresentation
bin100100111111…
…0011000110000
31100111012220000
41021332120300
514431021143
61531350000
7323554404
oct111763060
940435800
1019392048
11aa45595
1265b2300
13402c7b0
14280b104
151a80bd3
hex127e630

19392048 has 100 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 5961600.

The previous prime is 19392047. The next prime is 19392049. The reversal of 19392048 is 84029391.

It is an interprime number because it is at equal distance from previous prime (19392047) and next prime (19392049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19392041) 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, 16273 + ... + 17423.

Almost surely, 219392048 is an apocalyptic number.

19392048 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 19392048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

19392048 is an abundant number, since it is smaller than the sum of its proper divisors (41104080).

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

19392048 is a wasteful number, since it uses less digits than its factorization.

19392048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19392048 is about 4403.6403122871. The cubic root of 19392048 is about 268.6630201307.

The spelling of 19392048 in words is "nineteen million, three hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1151 1296 1404 1872 2106 2302 2808 3453 4212 4604 5616 6906 8424 9208 10359 13812 14963 16848 18416 20718 27624 29926 31077 41436 44889 55248 59852 62154 82872 89778 93231 119704 124308 134667 165744 179556 186462 239408 248616 269334 359112 372924 404001 497232 538668 718224 745848 808002 1077336 1212003 1491696 1616004 2154672 2424006 3232008 4848012 6464016 9696024 19392048