Search a number
-
+
18272088 = 2333292917
BaseRepresentation
bin100010110110…
…0111101011000
31021101022121000
41011230331120
514134201323
61451345000
7311211252
oct105547530
937338530
1018272088
11a3500aa
126152160
133a29ab3
1425d8cd2
15190de43
hex116cf58

18272088 has 64 divisors (see below), whose sum is σ = 52524000. Its totient is φ = 5878656.

The previous prime is 18272083. The next prime is 18272099. The reversal of 18272088 is 88027281.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18272081) 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, 4806 + ... + 7722.

Almost surely, 218272088 is an apocalyptic number.

18272088 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 18272088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26262000).

18272088 is an abundant number, since it is smaller than the sum of its proper divisors (34251912).

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

18272088 is a wasteful number, since it uses less digits than its factorization.

18272088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18272088 is about 4274.5862957718. The cubic root of 18272088 is about 263.3880453891.

The spelling of 18272088 in words is "eighteen million, two hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 2917 3132 5834 6264 8751 11668 17502 23336 26253 35004 52506 70008 78759 84593 105012 157518 169186 210024 253779 315036 338372 507558 630072 676744 761337 1015116 1522674 2030232 2284011 3045348 4568022 6090696 9136044 18272088