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108288828 = 223219315107
BaseRepresentation
bin1100111010001…
…01101100111100
321112202122100100
412131011230330
5210210220303
614425001100
72453303604
oct635055474
9245678310
10108288828
1156142aaa
1230323190
131958653b
141054bc04
1597908a3
hex6745b3c

108288828 has 72 divisors (see below), whose sum is σ = 297489920. Its totient is φ = 33086880.

The previous prime is 108288821. The next prime is 108288841. The reversal of 108288828 is 828882801.

It is a happy number.

108288828 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1082888282 = 23452940539227168, which contains 22 as substring.

108288828 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108288821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18651 + ... + 23757.

Almost surely, 2108288828 is an apocalyptic number.

108288828 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 108288828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148744960).

108288828 is an abundant number, since it is smaller than the sum of its proper divisors (189201092).

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

108288828 is a wasteful number, since it uses less digits than its factorization.

108288828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 108288828 is about 10406.1918106481. The cubic root of 108288828 is about 476.6444616669.

The spelling of 108288828 in words is "one hundred eight million, two hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5107 5301 7068 10214 10602 15321 20428 21204 30642 45963 61284 91926 97033 158317 183852 194066 291099 316634 388132 474951 582198 633268 873297 949902 1164396 1424853 1746594 1899804 2849706 3008023 3493188 5699412 6016046 9024069 12032092 18048138 27072207 36096276 54144414 108288828