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4109879808 = 29323128771
BaseRepresentation
bin1111010011110111…
…1100101000000000
3101121102110112012200
43310331330220000
531404112123213
61515452553200
7203563254606
oct36475745000
911542415180
104109879808
111819a13591
12968482800
13506614158
142adb97876
15190c2c273
hexf4f7ca00

4109879808 has 120 divisors (see below), whose sum is σ = 12244442496. Its totient is φ = 1325721600.

The previous prime is 4109879803. The next prime is 4109879827. The reversal of 4109879808 is 8089789014.

4109879808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41098798082 = 33782224072412233728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4109879803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128463 + ... + 157233.

Almost surely, 24109879808 is an apocalyptic number.

4109879808 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 4109879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122221248).

4109879808 is an abundant number, since it is smaller than the sum of its proper divisors (8134562688).

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

4109879808 is a wasteful number, since it uses less digits than its factorization.

4109879808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28826 (or 28807 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 4109879808 is about 64108.3442930794. The cubic root of 4109879808 is about 1601.8052291180.

The spelling of 4109879808 in words is "four billion, one hundred nine million, eight hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 15872 17856 23808 28771 35712 47616 57542 71424 86313 115084 142848 172626 230168 258939 345252 460336 517878 690504 891901 920672 1035756 1381008 1783802 1841344 2071512 2675703 2762016 3567604 3682688 4143024 5351406 5524032 7135208 7365376 8027109 8286048 10702812 11048064 14270416 14730752 16054218 16572096 21405624 22096128 28540832 32108436 33144192 42811248 44192256 57081664 64216872 66288384 85622496 114163328 128433744 132576768 171244992 228326656 256867488 342489984 456653312 513734976 684979968 1027469952 1369959936 2054939904 4109879808