Search a number
-
+
12822408 = 2333232989
BaseRepresentation
bin110000111010…
…011110001000
3220010110001000
4300322132020
511240304113
61134455000
7213663054
oct60723610
926113030
1012822408
117268735
124364460
13286c431
1419bac64
1511d4373
hexc3a788

12822408 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 3902976.

The previous prime is 12822373. The next prime is 12822413. The reversal of 12822408 is 80422821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144028 + ... + 144116.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 212822408 is an apocalyptic number.

12822408 is a gapful number since it is divisible by the number (18) 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 12822408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

12822408 is an abundant number, since it is smaller than the sum of its proper divisors (26057592).

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

12822408 is a wasteful number, since it uses less digits than its factorization.

12822408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12822408 is about 3580.8390078304. The cubic root of 12822408 is about 234.0578423740.

The spelling of 12822408 in words is "twelve million, eight hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 89 92 108 116 138 174 178 184 207 216 232 261 267 276 348 356 414 522 534 552 621 667 696 712 783 801 828 1044 1068 1242 1334 1566 1602 1656 2001 2047 2088 2136 2403 2484 2581 2668 3132 3204 4002 4094 4806 4968 5162 5336 6003 6141 6264 6408 7743 8004 8188 9612 10324 12006 12282 15486 16008 16376 18009 18423 19224 20648 23229 24012 24564 30972 36018 36846 46458 48024 49128 55269 59363 61944 69687 72036 73692 92916 110538 118726 139374 144072 147384 178089 185832 221076 237452 278748 356178 442152 474904 534267 557496 712356 1068534 1424712 1602801 2137068 3205602 4274136 6411204 12822408