Search a number
-
+
18430752 = 2531131699
BaseRepresentation
bin100011001001…
…1101100100000
31021200101020110
41012103230200
514204241002
61455011320
7312441654
oct106235440
937611213
1018430752
11a44932a
126209b40
133a84092
14263aa64
151940e6c
hex1193b20

18430752 has 48 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 6085632.

The previous prime is 18430739. The next prime is 18430757. The reversal of 18430752 is 25703481.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (18430757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9999 + ... + 11697.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 218430752 is an apocalyptic number.

18430752 is a gapful number since it is divisible by the number (12) 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 18430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

18430752 is an abundant number, since it is smaller than the sum of its proper divisors (30406848).

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

18430752 is a wasteful number, since it uses less digits than its factorization.

18430752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 18430752 is about 4293.1051699207. The cubic root of 18430752 is about 264.1482179639.

The spelling of 18430752 in words is "eighteen million, four hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1699 1808 2712 3398 3616 5097 5424 6796 10194 10848 13592 20388 27184 40776 54368 81552 163104 191987 383974 575961 767948 1151922 1535896 2303844 3071792 4607688 6143584 9215376 18430752