[go: up one dir, main page]

Search a number
-
+
18049752 = 2332759607
BaseRepresentation
bin100010011011…
…0101011011000
31020222000121100
41010312223120
514110043002
61442511400
7306264120
oct104665330
936860540
1018049752
11a209056
126065560
13397c836
14257bc80
1518b811c
hex1136ad8

18049752 has 96 divisors (see below), whose sum is σ = 56908800. Its totient is φ = 5061312.

The previous prime is 18049729. The next prime is 18049763. The reversal of 18049752 is 25794081.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29433 + ... + 30039.

It is an arithmetic number, because the mean of its divisors is an integer number (592800).

Almost surely, 218049752 is an apocalyptic number.

18049752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 4248×4249.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18049752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28454400).

18049752 is an abundant number, since it is smaller than the sum of its proper divisors (38859048).

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

18049752 is a wasteful number, since it uses less digits than its factorization.

18049752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18049752 is about 4248.4999705779. The cubic root of 18049752 is about 262.3153749393.

The spelling of 18049752 in words is "eighteen million, forty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 607 708 826 1062 1214 1239 1416 1652 1821 2124 2428 2478 3304 3642 3717 4248 4249 4856 4956 5463 7284 7434 8498 9912 10926 12747 14568 14868 16996 21852 25494 29736 33992 35813 38241 43704 50988 71626 76482 101976 107439 143252 152964 214878 250691 286504 305928 322317 429756 501382 644634 752073 859512 1002764 1289268 1504146 2005528 2256219 2578536 3008292 4512438 6016584 9024876 18049752