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4378799360 = 28513793331
BaseRepresentation
bin1000001001111111…
…10010110100000000
3102022011111001111002
410010333302310000
532431433034420
62002300511132
7213340115615
oct40477626400
912264431432
104378799360
111947799851
12a2254b4a8
1354a24c250
142d779a50c
151a964c075
hex104ff2d00

4378799360 has 144 divisors (see below), whose sum is σ = 11441821440. Its totient is φ = 1595842560.

The previous prime is 4378799357. The next prime is 4378799393. The reversal of 4378799360 is 639978734.

It is a junction number, because it is equal to n+sod(n) for n = 4378799296 and 4378799305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312895 + ... + 1316225.

Almost surely, 24378799360 is an apocalyptic number.

4378799360 is a gapful number since it is divisible by the number (40) 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 4378799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720910720).

4378799360 is an abundant number, since it is smaller than the sum of its proper divisors (7063022080).

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

4378799360 is a wasteful number, since it uses less digits than its factorization.

4378799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The square root of 4378799360 is about 66172.4970059314. The cubic root of 4378799360 is about 1636.0064641475.

The spelling of 4378799360 in words is "four billion, three hundred seventy-eight million, seven hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 79 80 104 128 130 158 160 208 256 260 316 320 395 416 520 632 640 790 832 1027 1040 1264 1280 1580 1664 2054 2080 2528 3160 3328 3331 4108 4160 5056 5135 6320 6662 8216 8320 10112 10270 12640 13324 16432 16640 16655 20224 20540 25280 26648 32864 33310 41080 43303 50560 53296 65728 66620 82160 86606 101120 106592 131456 133240 164320 173212 213184 216515 262912 263149 266480 328640 346424 426368 433030 526298 532960 657280 692848 852736 866060 1052596 1065920 1314560 1315745 1385696 1732120 2105192 2131840 2631490 2771392 3420937 3464240 4210384 4263680 5262980 5542784 6841874 6928480 8420768 10525960 11085568 13683748 13856960 16841536 17104685 21051920 27367496 27713920 33683072 34209370 42103840 54734992 55427840 67366144 68418740 84207680 109469984 136837480 168415360 218939968 273674960 336830720 437879936 547349920 875759872 1094699840 2189399680 4378799360