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4098536288 = 257113153657
BaseRepresentation
bin1111010001001010…
…1011001101100000
3101120122010012211022
43310102223031200
531343211130123
61514405505012
7203364661250
oct36422531540
911518105738
104098536288
111813575a80
12964712168
13504171c02
142ac483960
1518ec3b1c8
hexf44ab360

4098536288 has 96 divisors (see below), whose sum is σ = 10384754688. Its totient is φ = 1545292800.

The previous prime is 4098536263. The next prime is 4098536291. The reversal of 4098536288 is 8826358904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49556 + ... + 103212.

It is an arithmetic number, because the mean of its divisors is an integer number (108174528).

Almost surely, 24098536288 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 4098536288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192377344).

4098536288 is an abundant number, since it is smaller than the sum of its proper divisors (6286218400).

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

4098536288 is a wasteful number, since it uses less digits than its factorization.

4098536288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53716 (or 53708 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The square root of 4098536288 is about 64019.8116835718. The cubic root of 4098536288 is about 1600.3301776928.

The spelling of 4098536288 in words is "four billion, ninety-eight million, five hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 19096 38192 53657 76384 107314 214628 375599 429256 590227 751198 858512 1180454 1502396 1663367 1717024 2360908 3004792 3326734 4131589 4721816 6009584 6653468 8263178 9443632 11643569 12019168 13306936 16526356 18297037 18887264 23287138 26613872 33052712 36594074 46574276 53227744 66105424 73188148 93148552 128079259 132210848 146376296 186297104 256158518 292752592 372594208 512317036 585505184 1024634072 2049268144 4098536288