Search a number
-
+
18944064 = 263319577
BaseRepresentation
bin100100001000…
…1000001000000
31022122110101000
41020101001000
514322202224
61514012000
7320010336
oct110210100
938573330
1018944064
11a769a57
126417000
133c03909
142731b56
1519e30c9
hex1211040

18944064 has 112 divisors (see below), whose sum is σ = 58724800. Its totient is φ = 5971968.

The previous prime is 18944063. The next prime is 18944117. The reversal of 18944064 is 46044981.

It is a happy number.

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 (18944063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32544 + ... + 33120.

Almost surely, 218944064 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 18944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362400).

18944064 is an abundant number, since it is smaller than the sum of its proper divisors (39780736).

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

18944064 is a wasteful number, since it uses less digits than its factorization.

18944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18944064 is about 4352.4779149354. The cubic root of 18944064 is about 266.5780483315.

It can be divided in two parts, 189 and 44064, that added together give a triangular number (44253 = T297).

The spelling of 18944064 in words is "eighteen million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 577 608 684 864 912 1026 1154 1216 1368 1728 1731 1824 2052 2308 2736 3462 3648 4104 4616 5193 5472 6924 8208 9232 10386 10944 10963 13848 15579 16416 18464 20772 21926 27696 31158 32832 32889 36928 41544 43852 55392 62316 65778 83088 87704 98667 110784 124632 131556 166176 175408 197334 249264 263112 296001 332352 350816 394668 498528 526224 592002 701632 789336 997056 1052448 1184004 1578672 2104896 2368008 3157344 4736016 6314688 9472032 18944064