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4200553800 = 23325217137273
BaseRepresentation
bin1111101001011111…
…0101110101001000
3101211202002020112200
43322113311311020
532100320210200
61532452240200
7206044055352
oct37227656510
911752066480
104200553800
111866115273
12992910060
1351c340ac1
142bbc3c0d2
15198b8d800
hexfa5f5d48

4200553800 has 144 divisors (see below), whose sum is σ = 14936783940. Its totient is φ = 1054248960.

The previous prime is 4200553789. The next prime is 4200553823. The reversal of 4200553800 is 83550024.

It can be written as a sum of positive squares in 6 ways, for example, as 3223741284 + 976812516 = 56778^2 + 31254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38037 + ... + 99236.

Almost surely, 24200553800 is an apocalyptic number.

4200553800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200553800 is an abundant number, since it is smaller than the sum of its proper divisors (10736230140).

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

4200553800 is a wasteful number, since it uses less digits than its factorization.

4200553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137312 (or 137300 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4200553800 is about 64811.6795030032. The cubic root of 4200553800 is about 1613.4995569384.

The spelling of 4200553800 in words is "four billion, two hundred million, five hundred fifty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 137273 274546 411819 549092 686365 823638 1098184 1235457 1372730 1647276 2059095 2333641 2470914 2745460 3294552 3431825 4118190 4667282 4941828 5490920 6177285 6863650 7000923 8236380 9334564 9883656 10295475 11668205 12354570 13727300 14001846 16472760 18669128 20590950 21002769 23336410 24709140 27454600 28003692 30886425 35004615 41181900 42005538 46672820 49418280 56007384 58341025 61772850 70009230 82363800 84011076 93345640 105013845 116682050 123545700 140018460 168022152 175023075 210027690 233364100 247091400 280036920 350046150 420055380 466728200 525069225 700092300 840110760 1050138450 1400184600 2100276900 4200553800