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5439493800 = 23325213232457
BaseRepresentation
bin1010001000011100…
…00001011010101000
3112001002100220201100
411010032001122220
542120002300200
62255431121400
7251536635336
oct50416013250
915032326640
105439493800
1123414a8224
121079813260
13688c1a4b0
143985c6b56
1521c81bd00
hex1443816a8

5439493800 has 144 divisors (see below), whose sum is σ = 19672920540. Its totient is φ = 1338946560.

The previous prime is 5439493799. The next prime is 5439493841. The reversal of 5439493800 is 83949345.

It is a happy number.

5439493800 is a `hidden beast` number, since 54 + 39 + 493 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1562937156 + 3876556644 = 39534^2 + 62262^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92829 + ... + 139628.

Almost surely, 25439493800 is an apocalyptic number.

5439493800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5439493800 is an abundant number, since it is smaller than the sum of its proper divisors (14233426740).

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

5439493800 is a wasteful number, since it uses less digits than its factorization.

5439493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232492 (or 232480 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5439493800 is about 73752.9240098316. The cubic root of 5439493800 is about 1758.6773163089.

The spelling of 5439493800 in words is "five billion, four hundred thirty-nine million, four hundred ninety-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 232457 464914 697371 929828 1162285 1394742 1859656 2092113 2324570 2789484 3021941 3486855 4184226 4649140 5578968 5811425 6043882 6973710 8368452 9065823 9298280 10460565 11622850 12087764 13947420 15109705 16736904 17434275 18131646 20921130 23245700 24175528 27197469 27894840 30219410 34868550 36263292 41842260 45329115 46491400 52302825 54394938 60438820 69737100 72526584 75548525 83684520 90658230 104605650 108789876 120877640 135987345 139474200 151097050 181316460 209211300 217579752 226645575 271974690 302194100 362632920 418422600 453291150 543949380 604388200 679936725 906582300 1087898760 1359873450 1813164600 2719746900 5439493800