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4102685328 = 243723156269
BaseRepresentation
bin1111010010001010…
…0000001010010000
3101120220221000020110
43310202200022100
531400241412303
61515034441320
7203445151500
oct36442401220
911526830213
104102685328
11181594a235
12965b93240
13504c95571
142acc43a00
151902aa703
hexf48a0290

4102685328 has 120 divisors (see below), whose sum is σ = 12726923520. Its totient is φ = 1134362880.

The previous prime is 4102685299. The next prime is 4102685401. The reversal of 4102685328 is 8235862014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44778 + ... + 101046.

It is an arithmetic number, because the mean of its divisors is an integer number (106057696).

Almost surely, 24102685328 is an apocalyptic number.

4102685328 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 4102685328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363461760).

4102685328 is an abundant number, since it is smaller than the sum of its proper divisors (8624238192).

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

4102685328 is a wasteful number, since it uses less digits than its factorization.

4102685328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56325 (or 56312 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4102685328 is about 64052.2078308000. The cubic root of 4102685328 is about 1600.8700122551.

The spelling of 4102685328 in words is "four billion, one hundred two million, six hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 56269 72912 112538 168807 225076 337614 393883 450152 675228 787766 900304 1181649 1350456 1575532 1744339 2363298 2700912 2757181 3151064 3488678 4726596 5233017 5514362 6302128 6977356 8271543 9453192 10466034 11028724 12210373 13954712 16543086 18906384 20932068 22057448 24420746 27909424 33086172 36631119 41864136 44114896 48841492 66172344 73262238 83728272 85472611 97682984 132344688 146524476 170945222 195365968 256417833 293048952 341890444 512835666 586097904 683780888 1025671332 1367561776 2051342664 4102685328