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108026352 = 24337139257
BaseRepresentation
bin1100111000001…
…01100111110000
321112021022022000
412130011213300
5210123320402
614415214000
72451131430
oct634054760
9245238260
10108026352
1155a83885
1230217300
13194c3c25
14104c02c0
15973cc1c
hex67059f0

108026352 has 160 divisors (see below), whose sum is σ = 358310400. Its totient is φ = 30523392.

The previous prime is 108026333. The next prime is 108026389. The reversal of 108026352 is 253620801.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420208 + ... + 420464.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440).

Almost surely, 2108026352 is an apocalyptic number.

108026352 is a gapful number since it is divisible by the number (12) 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 108026352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179155200).

108026352 is an abundant number, since it is smaller than the sum of its proper divisors (250284048).

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

108026352 is a wasteful number, since it uses less digits than its factorization.

108026352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 108026352 is about 10393.5726292743. The cubic root of 108026352 is about 476.2590450263.

The spelling of 108026352 in words is "one hundred eight million, twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 257 278 336 378 417 432 504 514 556 756 771 834 973 1008 1028 1112 1251 1512 1542 1668 1799 1946 2056 2224 2313 2502 2919 3024 3084 3336 3598 3753 3892 4112 4626 5004 5397 5838 6168 6672 6939 7196 7506 7784 8757 9252 10008 10794 11676 12336 13878 14392 15012 15568 16191 17514 18504 20016 21588 23352 26271 27756 28784 30024 32382 35028 35723 37008 43176 46704 48573 52542 55512 60048 64764 70056 71446 86352 97146 105084 107169 111024 129528 140112 142892 194292 210168 214338 250061 259056 285784 321507 388584 420336 428676 500122 571568 643014 750183 777168 857352 964521 1000244 1286028 1500366 1714704 1929042 2000488 2250549 2572056 3000732 3858084 4000976 4501098 5144112 6001464 6751647 7716168 9002196 12002928 13503294 15432336 18004392 27006588 36008784 54013176 108026352