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18861444 = 2233761409
BaseRepresentation
bin100011111110…
…0110110000100
31022111021001000
41013330312010
514312031234
61512133300
7316214430
oct107746604
938437030
1018861444
11a712978
126397230
133ba5124
14270d9c0
1519c8899
hex11fcd84

18861444 has 96 divisors (see below), whose sum is σ = 56940800. Its totient is φ = 5287680.

The previous prime is 18861439. The next prime is 18861457. The reversal of 18861444 is 44416881.

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

It is a junction number, because it is equal to n+sod(n) for n = 18861399 and 18861408.

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 31 ways as a sum of consecutive naturals, for example, 45912 + ... + 46320.

Almost surely, 218861444 is an apocalyptic number.

18861444 is a gapful number since it is divisible by the number (14) 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 18861444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28470400).

18861444 is an abundant number, since it is smaller than the sum of its proper divisors (38079356).

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

18861444 is a wasteful number, since it uses less digits than its factorization.

18861444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 18861444 is about 4342.9763987385. The cubic root of 18861444 is about 266.1899447966.

The spelling of 18861444 in words is "eighteen million, eight hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 409 427 549 732 756 818 854 1098 1227 1281 1636 1647 1708 2196 2454 2562 2863 3294 3681 3843 4908 5124 5726 6588 7362 7686 8589 11043 11452 11529 14724 15372 17178 22086 23058 24949 25767 34356 44172 46116 49898 51534 74847 77301 99796 103068 149694 154602 174643 224541 299388 309204 349286 449082 523929 673623 698572 898164 1047858 1347246 1571787 2095716 2694492 3143574 4715361 6287148 9430722 18861444