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12918444 = 22371123141
BaseRepresentation
bin110001010001…
…111010101100
3220022022202220
4301101322230
511301342234
61140515340
7214543050
oct61217254
926268686
1012918444
117323900
1243abb50
1328a4066
141a03c60
151202a49
hexc51eac

12918444 has 144 divisors (see below), whose sum is σ = 40040448. Its totient is φ = 3168000.

The previous prime is 12918443. The next prime is 12918457. The reversal of 12918444 is 44481921.

12918444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129184442 = 333772390762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12918443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315064 + ... + 315104.

Almost surely, 212918444 is an apocalyptic number.

12918444 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 12918444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020224).

12918444 is an abundant number, since it is smaller than the sum of its proper divisors (27122004).

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

12918444 is a wasteful number, since it uses less digits than its factorization.

12918444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12918444 is about 3594.2236992152. The cubic root of 12918444 is about 234.6407306405.

The spelling of 12918444 in words is "twelve million, nine hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 41 42 44 62 66 77 82 84 93 121 123 124 132 154 164 186 217 231 242 246 287 308 341 363 372 434 451 462 484 492 574 651 682 726 847 861 868 902 924 1023 1148 1271 1302 1353 1364 1452 1694 1722 1804 2046 2387 2541 2542 2604 2706 3157 3388 3444 3751 3813 4092 4774 4961 5082 5084 5412 6314 7161 7502 7626 8897 9471 9548 9922 10164 11253 12628 13981 14322 14883 15004 15252 17794 18942 19844 22506 26257 26691 27962 28644 29766 34727 35588 37884 41943 45012 52514 53382 55924 59532 69454 78771 83886 97867 104181 105028 106764 138908 153791 157542 167772 195734 208362 293601 307582 315084 391468 416724 461373 587202 615164 922746 1076537 1174404 1845492 2153074 3229611 4306148 6459222 12918444