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108428256 = 25322316369
BaseRepresentation
bin1100111011001…
…11101111100000
321120000201121100
412131213233200
5210224201011
614431554400
72454424236
oct635475740
9246021540
10108428256
1156228832
123038ba00
1319604b41
1410586956
1597bbd56
hex6767be0

108428256 has 72 divisors (see below), whose sum is σ = 321768720. Its totient is φ = 34569216.

The previous prime is 108428143. The next prime is 108428263. The reversal of 108428256 is 652824801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108428256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1561 + ... + 14808.

It is an arithmetic number, because the mean of its divisors is an integer number (4469010).

Almost surely, 2108428256 is an apocalyptic number.

108428256 is a gapful number since it is divisible by the number (16) 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 108428256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160884360).

108428256 is an abundant number, since it is smaller than the sum of its proper divisors (213340464).

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

108428256 is a wasteful number, since it uses less digits than its factorization.

108428256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16408 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108428256 is about 10412.8889363135. Note that the first 3 decimals coincide. The cubic root of 108428256 is about 476.8489428461.

The spelling of 108428256 in words is "one hundred eight million, four hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 16369 32738 49107 65476 98214 130952 147321 196428 261904 294642 376487 392856 523808 589284 752974 785712 1129461 1178568 1505948 1571424 2258922 2357136 3011896 3388383 4517844 4714272 6023792 6776766 9035688 12047584 13553532 18071376 27107064 36142752 54214128 108428256