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4102386048 = 27339111303
BaseRepresentation
bin1111010010000101…
…0111000110000000
3101120220100210201000
43310201113012000
531400202323143
61515024212000
7203442464115
oct36441270600
911526323630
104102386048
1118157653a2
12965a6a000
13504bbc287
142acba690c
1519024bbd3
hexf4857180

4102386048 has 128 divisors (see below), whose sum is σ = 12130329600. Its totient is φ = 1364912640.

The previous prime is 4102386019. The next prime is 4102386049. The reversal of 4102386048 is 8406832014.

4102386048 is a `hidden beast` number, since 4 + 10 + 2 + 38 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102386049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147765 + ... + 3149067.

It is an arithmetic number, because the mean of its divisors is an integer number (94768200).

Almost surely, 24102386048 is an apocalyptic number.

4102386048 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 4102386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065164800).

4102386048 is an abundant number, since it is smaller than the sum of its proper divisors (8027943552).

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

4102386048 is a wasteful number, since it uses less digits than its factorization.

4102386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4102386048 is about 64049.8715689579. The cubic root of 4102386048 is about 1600.8310849031.

The spelling of 4102386048 in words is "four billion, one hundred two million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 911 1152 1303 1728 1822 2606 2733 3456 3644 3909 5212 5466 7288 7818 8199 10424 10932 11727 14576 15636 16398 20848 21864 23454 24597 29152 31272 32796 35181 41696 43728 46908 49194 58304 62544 65592 70362 83392 87456 93816 98388 116608 125088 131184 140724 166784 174912 187632 196776 250176 262368 281448 349824 375264 393552 500352 524736 562896 750528 787104 1049472 1125792 1187033 1501056 1574208 2251584 2374066 3148416 3561099 4503168 4748132 7122198 9496264 10683297 14244396 18992528 21366594 28488792 32049891 37985056 42733188 56977584 64099782 75970112 85466376 113955168 128199564 151940224 170932752 227910336 256399128 341865504 455820672 512798256 683731008 1025596512 1367462016 2051193024 4102386048