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104538408 = 233131033253
BaseRepresentation
bin1100011101100…
…10000100101000
321021201002201220
412032302010220
5203230212113
614212342040
72406363462
oct616620450
9237632656
10104538408
1154011287
122b014920
1318872460
14dc53132
15929e523
hex63b2128

104538408 has 64 divisors (see below), whose sum is σ = 284269440. Its totient is φ = 31843584.

The previous prime is 104538407. The next prime is 104538439. The reversal of 104538408 is 804835401.

It is not an unprimeable number, because it can be changed into a prime (104538407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30510 + ... + 33762.

It is an arithmetic number, because the mean of its divisors is an integer number (4441710).

Almost surely, 2104538408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104538408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142134720).

104538408 is an abundant number, since it is smaller than the sum of its proper divisors (179731032).

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

104538408 is a wasteful number, since it uses less digits than its factorization.

104538408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 104538408 is about 10224.4025742339. The cubic root of 104538408 is about 471.0770651167.

The spelling of 104538408 in words is "one hundred four million, five hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 618 824 1236 1339 2472 2678 3253 4017 5356 6506 8034 9759 10712 13012 16068 19518 26024 32136 39036 42289 78072 84578 126867 169156 253734 335059 338312 507468 670118 1005177 1014936 1340236 2010354 2680472 4020708 4355767 8041416 8711534 13067301 17423068 26134602 34846136 52269204 104538408