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12894444 = 22332329179
BaseRepresentation
bin110001001100…
…000011101100
3220021002212000
4301030003230
511300110234
61140212300
7214413063
oct61140354
926232760
1012894444
117307872
12439a090
132896164
1419d91da
1511ea899
hexc4c0ec

12894444 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3947328.

The previous prime is 12894443. The next prime is 12894457. The reversal of 12894444 is 44449821.

12894444 is a `hidden beast` number, since 128 + 94 + 444 = 666.

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 = 12894399 and 12894408.

It is not an unprimeable number, because it can be changed into a prime (12894443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71947 + ... + 72125.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 212894444 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 12894444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12894444 is an abundant number, since it is smaller than the sum of its proper divisors (23393556).

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

12894444 is a wasteful number, since it uses less digits than its factorization.

12894444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

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

The square root of 12894444 is about 3590.8834567555. The cubic root of 12894444 is about 234.4953346862.

The spelling of 12894444 in words is "twelve million, eight hundred ninety-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 179 207 261 276 348 358 414 522 537 621 667 716 783 828 1044 1074 1242 1334 1566 1611 2001 2148 2484 2668 3132 3222 4002 4117 4833 5191 6003 6444 8004 8234 9666 10382 12006 12351 15573 16468 18009 19332 20764 24012 24702 31146 36018 37053 46719 49404 62292 72036 74106 93438 111159 119393 140157 148212 186876 222318 238786 280314 358179 444636 477572 560628 716358 1074537 1432716 2149074 3223611 4298148 6447222 12894444