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18949392 = 24327111709
BaseRepresentation
bin100100001001…
…0010100010000
31022122201200100
41020102110100
514322340032
61514052400
7320032020
oct110222420
938581610
1018949392
11a772a60
12641a100
133c06177
142733a80
1519e497c
hex1212510

18949392 has 120 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 4919040.

The previous prime is 18949391. The next prime is 18949417. The reversal of 18949392 is 29394981.

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

It is not an unprimeable number, because it can be changed into a prime (18949391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10234 + ... + 11942.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 218949392 is an apocalyptic number.

18949392 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 18949392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

18949392 is an abundant number, since it is smaller than the sum of its proper divisors (47207088).

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

18949392 is a wasteful number, since it uses less digits than its factorization.

18949392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 18949392 is about 4353.0899370447. The cubic root of 18949392 is about 266.6030375965.

The spelling of 18949392 in words is "eighteen million, nine hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1709 1848 2772 3418 3696 5127 5544 6836 10254 11088 11963 13672 15381 18799 20508 23926 27344 30762 35889 37598 41016 47852 56397 61524 71778 75196 82032 95704 107667 112794 123048 131593 143556 150392 169191 191408 215334 225588 246096 263186 287112 300784 338382 394779 430668 451176 526372 574224 676764 789558 861336 902352 1052744 1184337 1353528 1579116 1722672 2105488 2368674 2707056 3158232 4737348 6316464 9474696 18949392