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2444747040 = 253251697741
BaseRepresentation
bin1001000110110111…
…1110000100100000
320022101020000110200
42101231332010200
520001323401130
61042331225200
7114404002251
oct22155760440
96271200420
102444747040
111044aa56aa
125828a8200
132cc6550a8
1419298ab28
15e4964760
hex91b7e120

2444747040 has 72 divisors (see below), whose sum is σ = 8342704188. Its totient is φ = 651932160.

The previous prime is 2444747023. The next prime is 2444747087. The reversal of 2444747040 is 407474442.

It can be written as a sum of positive squares in 2 ways, for example, as 2381830416 + 62916624 = 48804^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2444746986 and 2444747004.

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, 847431 + ... + 850310.

Almost surely, 22444747040 is an apocalyptic number.

2444747040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444747040 is an abundant number, since it is smaller than the sum of its proper divisors (5897957148).

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

2444747040 is a wasteful number, since it uses less digits than its factorization.

2444747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697762 (or 1697751 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 2444747040 is about 49444.3833008361. The cubic root of 2444747040 is about 1347.1355891838.

The spelling of 2444747040 in words is "two billion, four hundred forty-four million, seven hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1697741 3395482 5093223 6790964 8488705 10186446 13581928 15279669 16977410 20372892 25466115 27163856 30559338 33954820 40745784 50932230 54327712 61118676 67909640 76398345 81491568 101864460 122237352 135819280 152796690 162983136 203728920 244474704 271638560 305593380 407457840 488949408 611186760 814915680 1222373520 2444747040