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2049281280 = 28325177889
BaseRepresentation
bin111101000100101…
…1000110100000000
312021211002021102200
41322021120310000
513144104000110
6535203113200
7101532413664
oct17211306400
95254067380
102049281280
119618473a2
12492372800
13268740597
141562468a4
15bed996c0
hex7a258d00

2049281280 has 108 divisors (see below), whose sum is σ = 7090339620. Its totient is φ = 546471936.

The previous prime is 2049281243. The next prime is 2049281281. The reversal of 2049281280 is 821829402.

It can be written as a sum of positive squares in 2 ways, for example, as 767068416 + 1282212864 = 27696^2 + 35808^2 .

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 (2049281281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77425 + ... + 100464.

Almost surely, 22049281280 is an apocalyptic number.

2049281280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2049281280 is an abundant number, since it is smaller than the sum of its proper divisors (5041058340).

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

2049281280 is a wasteful number, since it uses less digits than its factorization.

2049281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177916 (or 177899 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2049281280 is about 45268.9880602604. The cubic root of 2049281280 is about 1270.1856177742.

The spelling of 2049281280 in words is "two billion, forty-nine million, two hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 177889 355778 533667 711556 889445 1067334 1423112 1601001 1778890 2134668 2668335 2846224 3202002 3557780 4269336 5336670 5692448 6404004 7115560 8005005 8538672 10673340 11384896 12808008 14231120 16010010 17077344 21346680 22769792 25616016 28462240 32020020 34154688 42693360 45539584 51232032 56924480 64040040 68309376 85386720 102464064 113848960 128080080 136618752 170773440 204928128 227697920 256160160 341546880 409856256 512320320 683093760 1024640640 2049281280