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2898268880 = 2451324632
BaseRepresentation
bin1010110011000000…
…0001001011010000
321110222121022110212
42230300001023100
521413424101010
61155331543252
7131551610333
oct25460011320
97428538425
102898268880
111257aa7341
1268a75ab28
133725b5b00
141d6cc461a
1511e69b505
hexacc012d0

2898268880 has 90 divisors (see below), whose sum is σ = 7312485654. Its totient is φ = 1067818752.

The previous prime is 2898268811. The next prime is 2898268883. The reversal of 2898268880 is 888628982.

It can be written as a sum of positive squares in 3 ways, for example, as 13719616 + 2884549264 = 3704^2 + 53708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2898268883) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6259529 + ... + 6259991.

Almost surely, 22898268880 is an apocalyptic number.

2898268880 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 2898268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656242827).

2898268880 is an abundant number, since it is smaller than the sum of its proper divisors (4414216774).

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

2898268880 is an equidigital number, since it uses as much as digits as its factorization.

2898268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 59.

The square root of 2898268880 is about 53835.5726262849. The cubic root of 2898268880 is about 1425.7593375807.

The spelling of 2898268880 in words is "two billion, eight hundred ninety-eight million, two hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 463 520 676 845 926 1040 1352 1690 1852 2315 2704 3380 3704 4630 6019 6760 7408 9260 12038 13520 18520 24076 30095 37040 48152 60190 78247 96304 120380 156494 214369 240760 312988 391235 428738 481520 625976 782470 857476 1071845 1251952 1564940 1714952 2143690 2786797 3129880 3429904 4287380 5573594 6259760 8574760 11147188 13933985 17149520 22294376 27867970 36228361 44588752 55735940 72456722 111471880 144913444 181141805 222943760 289826888 362283610 579653776 724567220 1449134440 2898268880