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108819828 = 223313179433
BaseRepresentation
bin1100111110001…
…11010101110100
321120202121202000
412133013111310
5210324213303
614444215300
72460644655
oct637072564
9246677660
10108819828
1156475a47
123053a530
1319711140
141064952c
159847da3
hex67c7574

108819828 has 96 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 33219072.

The previous prime is 108819817. The next prime is 108819829. The reversal of 108819828 is 828918801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108819829) 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, 251100 + ... + 251532.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2108819828 is an apocalyptic number.

108819828 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 108819828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

108819828 is an abundant number, since it is smaller than the sum of its proper divisors (197410572).

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

108819828 is a wasteful number, since it uses less digits than its factorization.

108819828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 108819828 is about 10431.6742663870. The cubic root of 108819828 is about 477.4222754809.

The spelling of 108819828 in words is "one hundred eight million, eight hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 179 234 351 358 433 468 537 702 716 866 1074 1299 1404 1611 1732 2148 2327 2598 3222 3897 4654 4833 5196 5629 6444 6981 7794 9308 9666 11258 11691 13962 15588 16887 19332 20943 22516 23382 27924 33774 41886 46764 50661 62829 67548 77507 83772 101322 125658 151983 155014 202644 232521 251316 303966 310028 465042 607932 697563 930084 1007591 1395126 2015182 2092689 2790252 3022773 4030364 4185378 6045546 8370756 9068319 12091092 18136638 27204957 36273276 54409914 108819828