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4108685088 = 25343279293
BaseRepresentation
bin1111010011100101…
…1000111100100000
3101121100012211100210
43310321120330200
531403310410323
61515411214120
7203550150504
oct36471307440
911540184323
104108685088
111819277a12
12967ba7340
135062b6411
142ad966304
15190a93293
hexf4e58f20

4108685088 has 144 divisors (see below), whose sum is σ = 11219886720. Its totient is φ = 1316270592.

The previous prime is 4108685083. The next prime is 4108685117. The reversal of 4108685088 is 8805868014.

4108685088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108685083) 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, 14022670 + ... + 14022962.

It is an arithmetic number, because the mean of its divisors is an integer number (77915880).

Almost surely, 24108685088 is an apocalyptic number.

4108685088 is a gapful number since it is divisible by the number (48) 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 4108685088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609943360).

4108685088 is an abundant number, since it is smaller than the sum of its proper divisors (7111201632).

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

4108685088 is a wasteful number, since it uses less digits than its factorization.

4108685088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 4108685088 is about 64099.0256400205. The cubic root of 4108685088 is about 1601.6500020151.

The spelling of 4108685088 in words is "four billion, one hundred eight million, six hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 79 86 96 129 158 172 237 258 293 316 344 474 516 586 632 688 879 948 1032 1172 1264 1376 1758 1849 1896 2064 2344 2528 3397 3516 3698 3792 4128 4688 5547 6794 7032 7396 7584 9376 10191 11094 12599 13588 14064 14792 20382 22188 23147 25198 27176 28128 29584 37797 40764 44376 46294 50396 54352 59168 69441 75594 81528 88752 92588 100792 108704 138882 146071 151188 163056 177504 185176 201584 277764 292142 302376 326112 370352 403168 438213 541757 555528 584284 604752 740704 876426 995321 1083514 1111056 1168568 1209504 1625271 1752852 1990642 2167028 2222112 2337136 2985963 3250542 3505704 3981284 4334056 4674272 5971926 6501084 7011408 7962568 8668112 11943852 13002168 14022816 15925136 17336224 23887704 26004336 31850272 42798803 47775408 52008672 85597606 95550816 128396409 171195212 256792818 342390424 513585636 684780848 1027171272 1369561696 2054342544 4108685088