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8123412 = 22311194179
BaseRepresentation
bin11110111111010000010100
3120021201020010
4132333100110
54034422122
6450040220
7126022263
oct36772024
916251203
108123412
114649270
122879070
1318b566b
1411165da
15aa6e0c
hex7bf414

8123412 has 96 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 2246400.

The previous prime is 8123411. The next prime is 8123417. The reversal of 8123412 is 2143218.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123411) by changing a digit.

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, 102789 + ... + 102867.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 28123412 is an apocalyptic number.

8123412 is a gapful number since it is divisible by the number (82) 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 8123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

8123412 is an abundant number, since it is smaller than the sum of its proper divisors (14455788).

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

8123412 is a wasteful number, since it uses less digits than its factorization.

8123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 8123412 is about 2850.1599955090. The cubic root of 8123412 is about 201.0231898197.

It can be divided in two parts, 812 and 3412, that added together give a palindrome (4224).

The spelling of 8123412 in words is "eight million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 79 82 114 123 132 158 164 209 228 237 246 316 418 451 474 492 627 779 836 869 902 948 1254 1353 1501 1558 1738 1804 2337 2508 2607 2706 3002 3116 3239 3476 4503 4674 5214 5412 6004 6478 8569 9006 9348 9717 10428 12956 16511 17138 18012 19434 25707 33022 34276 35629 38868 49533 51414 61541 66044 71258 99066 102828 106887 123082 142516 184623 198132 213774 246164 369246 427548 676951 738492 1353902 2030853 2707804 4061706 8123412