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18127944 = 2332733449
BaseRepresentation
bin100010100100…
…1110001001000
31021002222212100
41011021301020
514120043234
61444313400
7310041102
oct105116110
937088770
1018127944
11a26187a
1260a2860
1339a92c3
14259c572
1518d1399
hex1149c48

18127944 has 48 divisors (see below), whose sum is σ = 49783500. Its totient is φ = 5958144.

The previous prime is 18127939. The next prime is 18127951. The reversal of 18127944 is 44972181.

It can be written as a sum of positive squares in 2 ways, for example, as 16305444 + 1822500 = 4038^2 + 1350^2 .

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 = 18127899 and 18127908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3532 + ... + 6980.

Almost surely, 218127944 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 18127944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24891750).

18127944 is an abundant number, since it is smaller than the sum of its proper divisors (31655556).

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

18127944 is a wasteful number, since it uses less digits than its factorization.

18127944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18127944 is about 4257.6923327079. The cubic root of 18127944 is about 262.6936149813.

The spelling of 18127944 in words is "eighteen million, one hundred twenty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 3449 5256 6898 10347 13796 20694 27592 31041 41388 62082 82776 124164 248328 251777 503554 755331 1007108 1510662 2014216 2265993 3021324 4531986 6042648 9063972 18127944