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2887252480 = 2957223017
BaseRepresentation
bin1010110000010111…
…1111101000000000
321110012212121211001
42230011333220000
521403114034410
61154255501344
7131356145500
oct25405775000
97405777731
102887252480
111251862582
12686b27854
13370229728
141d5657a00
1511d72233a
hexac17fa00

2887252480 has 120 divisors (see below), whose sum is σ = 8053215588. Its totient is φ = 989872128.

The previous prime is 2887252469. The next prime is 2887252517. The reversal of 2887252480 is 842527882.

It can be written as a sum of positive squares in 2 ways, for example, as 2878107904 + 9144576 = 53648^2 + 3024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2887252480.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113932 + ... + 136948.

Almost surely, 22887252480 is an apocalyptic number.

2887252480 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 2887252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026607794).

2887252480 is an abundant number, since it is smaller than the sum of its proper divisors (5165963108).

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

2887252480 is an equidigital number, since it uses as much as digits as its factorization.

2887252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23054 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 2887252480 is about 53733.1599666351. The cubic root of 2887252480 is about 1423.9505937494.

The spelling of 2887252480 in words is "two billion, eight hundred eighty-seven million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 23017 25088 31360 46034 62720 92068 115085 125440 161119 184136 230170 322238 368272 460340 644476 736544 805595 920680 1127833 1288952 1473088 1611190 1841360 2255666 2577904 2946176 3222380 3682720 4511332 5155808 5639165 5892352 6444760 7365440 9022664 10311616 11278330 11784704 12889520 14730880 18045328 20623232 22556660 25779040 29461760 36090656 41246464 45113320 51558080 58923520 72181312 82492928 90226640 103116160 144362624 180453280 206232320 288725248 360906560 412464640 577450496 721813120 1443626240 2887252480