Search a number
-
+
18730448 = 2411313433
BaseRepresentation
bin100011101110…
…0110111010000
31022020121100022
41013130313100
514243333243
61505243012
7315130502
oct107346720
938217308
1018730448
11a633510
126333468
133b5a609
1426b7d72
15199eb68
hex11dcdd0

18730448 has 40 divisors (see below), whose sum is σ = 40878336. Its totient is φ = 8236800.

The previous prime is 18730429. The next prime is 18730469. The reversal of 18730448 is 84403781.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3740 + ... + 7172.

Almost surely, 218730448 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 18730448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20439168).

18730448 is an abundant number, since it is smaller than the sum of its proper divisors (22147888).

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

18730448 is a wasteful number, since it uses less digits than its factorization.

18730448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 18730448 is about 4327.8687595628. The cubic root of 18730448 is about 265.5722675114.

The spelling of 18730448 in words is "eighteen million, seven hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 3433 5456 6866 13732 27464 37763 54928 75526 106423 151052 212846 302104 425692 604208 851384 1170653 1702768 2341306 4682612 9365224 18730448