Search a number
-
+
5412853200 = 243524510711
BaseRepresentation
bin1010000101010000…
…11001010111010000
3111222020020102200110
411002220121113100
542041142300300
62253040121320
7251064331056
oct50250312720
914866212613
105412853200
1123284617a7
121070906240
13683550621
14394c501d6
1521a308550
hex142a195d0

5412853200 has 60 divisors (see below), whose sum is σ = 17339176928. Its totient is φ = 1443427200.

The previous prime is 5412853181. The next prime is 5412853211. The reversal of 5412853200 is 23582145.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2254156 + ... + 2256555.

Almost surely, 25412853200 is an apocalyptic number.

5412853200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5412853200 is an abundant number, since it is smaller than the sum of its proper divisors (11926323728).

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

5412853200 is a wasteful number, since it uses less digits than its factorization.

5412853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510732 (or 4510721 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5412853200 is about 73572.0952535674. The cubic root of 5412853200 is about 1755.8015023923.

The spelling of 5412853200 in words is "five billion, four hundred twelve million, eight hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4510711 9021422 13532133 18042844 22553555 27064266 36085688 45107110 54128532 67660665 72171376 90214220 108257064 112767775 135321330 180428440 216514128 225535550 270642660 338303325 360856880 451071100 541285320 676606650 902142200 1082570640 1353213300 1804284400 2706426600 5412853200