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18444492 = 22321147991
BaseRepresentation
bin100011001011…
…1000011001100
31021201002002100
41012113003030
514210210432
61455155100
7312530013
oct106270314
937632070
1018444492
11a458690
126215a90
133a8a401
142641a7a
15194507c
hex11970cc

18444492 has 72 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 5464800.

The previous prime is 18444469. The next prime is 18444511. The reversal of 18444492 is 29444481.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18117 + ... + 19107.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 218444492 is an apocalyptic number.

18444492 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 18444492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

18444492 is an abundant number, since it is smaller than the sum of its proper divisors (33552180).

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

18444492 is a wasteful number, since it uses less digits than its factorization.

18444492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18444492 is about 4294.7051121119. The cubic root of 18444492 is about 264.2138418913.

It can be divided in two parts, 1844 and 4492, that added together give a palindrome (6336).

The spelling of 18444492 in words is "eighteen million, four hundred forty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 991 1034 1551 1692 1982 2068 2973 3102 3964 4653 5946 6204 8919 9306 10901 11892 17838 18612 21802 32703 35676 43604 46577 65406 93154 98109 130812 139731 186308 196218 279462 392436 419193 512347 558924 838386 1024694 1537041 1676772 2049388 3074082 4611123 6148164 9222246 18444492