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18538072 = 2372192131
BaseRepresentation
bin100011010110…
…1111001011000
31021212211110021
41012231321120
514221204242
61501200224
7313366600
oct106557130
937784407
1018538072
11a511a23
126260074
133ac0b97
142667c00
151962b67
hex11ade58

18538072 has 72 divisors (see below), whose sum is σ = 42999660. Its totient is φ = 7469280.

The previous prime is 18538001. The next prime is 18538099. The reversal of 18538072 is 27083581.

It is a super-2 number, since 2×185380722 = 687320226954368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 141447 + ... + 141577.

Almost surely, 218538072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18538072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21499830).

18538072 is an abundant number, since it is smaller than the sum of its proper divisors (24461588).

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

18538072 is a wasteful number, since it uses less digits than its factorization.

18538072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 18538072 is about 4305.5861389595. The cubic root of 18538072 is about 264.6599268912.

The spelling of 18538072 in words is "eighteen million, five hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 131 133 152 196 262 266 361 392 524 532 722 917 931 1048 1064 1444 1834 1862 2489 2527 2888 3668 3724 4978 5054 6419 7336 7448 9956 10108 12838 17423 17689 19912 20216 25676 34846 35378 47291 51352 69692 70756 94582 121961 139384 141512 189164 243922 331037 378328 487844 662074 975688 1324148 2317259 2648296 4634518 9269036 18538072