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2838505500 = 2232532921751
BaseRepresentation
bin1010100100110000…
…0010100000011100
321022211011000112100
42221030002200130
521303124134000
61145355005100
7130224620145
oct25114024034
97284130470
102838505500
111227298216
12672739790
133630bc76c
141ccda8acc
151192e3a00
hexa930281c

2838505500 has 144 divisors (see below), whose sum is σ = 9263741760. Its totient is φ = 730800000.

The previous prime is 2838505477. The next prime is 2838505547. The reversal of 2838505500 is 55058382.

2838505500 is a `hidden beast` number, since 28 + 3 + 85 + 0 + 550 + 0 = 666.

It is a super-2 number, since 2×28385055002 = 16114226947060500000, which contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 119625 + ... + 141375.

It is an arithmetic number, because the mean of its divisors is an integer number (64331540).

Almost surely, 22838505500 is an apocalyptic number.

2838505500 is a gapful number since it is divisible by the number (20) 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 2838505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631870880).

2838505500 is an abundant number, since it is smaller than the sum of its proper divisors (6425236260).

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

2838505500 is a wasteful number, since it uses less digits than its factorization.

2838505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21805 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2838505500 is about 53277.6266363283. The cubic root of 2838505500 is about 1415.8913004273.

The spelling of 2838505500 in words is "two billion, eight hundred thirty-eight million, five hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 125 145 150 174 180 225 250 261 290 300 348 375 435 450 500 522 580 725 750 870 900 1044 1125 1305 1450 1500 1740 2175 2250 2610 2900 3625 4350 4500 5220 6525 7250 8700 10875 13050 14500 21750 21751 26100 32625 43500 43502 65250 65253 87004 108755 130500 130506 195759 217510 261012 326265 391518 435020 543775 630779 652530 783036 978795 1087550 1261558 1305060 1631325 1892337 1957590 2175100 2523116 2718875 3153895 3262650 3784674 3915180 4893975 5437750 5677011 6307790 6525300 7569348 8156625 9461685 9787950 10875500 11354022 12615580 15769475 16313250 18923370 19575900 22708044 24469875 28385055 31538950 32626500 37846740 47308425 48939750 56770110 63077900 78847375 94616850 97879500 113540220 141925275 157694750 189233700 236542125 283850550 315389500 473084250 567701100 709626375 946168500 1419252750 2838505500