Search a number
-
+
18869328 = 2433311409
BaseRepresentation
bin100011111111…
…0110001010000
31022111122212000
41013332301100
514312304303
61512234000
7316246422
oct107766120
938448760
1018869328
11a718895
12639b900
133ba88aa
142712812
1519cada3
hex11fec50

18869328 has 80 divisors (see below), whose sum is σ = 55948800. Its totient is φ = 6082560.

The previous prime is 18869311. The next prime is 18869329. The reversal of 18869328 is 82396881.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18869329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12688 + ... + 14096.

It is an arithmetic number, because the mean of its divisors is an integer number (699360).

Almost surely, 218869328 is an apocalyptic number.

18869328 is a gapful number since it is divisible by the number (18) 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 18869328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27974400).

18869328 is an abundant number, since it is smaller than the sum of its proper divisors (37079472).

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

18869328 is a wasteful number, since it uses less digits than its factorization.

18869328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18869328 is about 4343.8839763511. The cubic root of 18869328 is about 266.2270283692.

The spelling of 18869328 in words is "eighteen million, eight hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1409 1488 1674 2232 2818 3348 4227 4464 5636 6696 8454 11272 12681 13392 16908 22544 25362 33816 38043 43679 50724 67632 76086 87358 101448 131037 152172 174716 202896 262074 304344 349432 393111 524148 608688 698864 786222 1048296 1179333 1572444 2096592 2358666 3144888 4717332 6289776 9434664 18869328