Search a number
-
+
18295424 = 27722917
BaseRepresentation
bin100010111001…
…0101010000000
31021102111121022
41011302222000
514140423144
61452045012
7311336300
oct105625200
937374538
1018295424
11a366694
126163768
133a375c4
142603600
151915cee
hex1172a80

18295424 has 48 divisors (see below), whose sum is σ = 42413130. Its totient is φ = 7838208.

The previous prime is 18295421. The next prime is 18295429. The reversal of 18295424 is 42459281.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 8809024 = 3080^2 + 2968^2 .

It is not an unprimeable number, because it can be changed into a prime (18295421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4814 + ... + 7730.

Almost surely, 218295424 is an apocalyptic number.

18295424 is a gapful number since it is divisible by the number (14) 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 18295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21206565).

18295424 is an abundant number, since it is smaller than the sum of its proper divisors (24117706).

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

18295424 is an equidigital number, since it uses as much as digits as its factorization.

18295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2926 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 18295424 is about 4277.3150456799. The cubic root of 18295424 is about 263.5001254220.

The spelling of 18295424 in words is "eighteen million, two hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 2917 3136 5834 6272 11668 20419 23336 40838 46672 81676 93344 142933 163352 186688 285866 326704 373376 571732 653408 1143464 1306816 2286928 2613632 4573856 9147712 18295424