Search a number
-
+
45434343200 = 255256792929
BaseRepresentation
bin101010010100000110…
…010000111100100000
311100021101201202220212
4222110012100330200
51221022142440300
632512223353252
73165622354661
oct522406207440
9140241652825
1045434343200
11182a5558574
12897ba52828
134390bb855c
1422b0213368
1512adb37935
hexa94190f20

45434343200 has 36 divisors (see below), whose sum is σ = 110916592290. Its totient is φ = 18173736960.

The previous prime is 45434343187. The next prime is 45434343203. The reversal of 45434343200 is 234343454.

It can be written as a sum of positive squares in 3 ways, for example, as 38861025424 + 6573317776 = 197132^2 + 81076^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45434343203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 28395665 + ... + 28397264.

Almost surely, 245434343200 is an apocalyptic number.

45434343200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434343200 is an abundant number, since it is smaller than the sum of its proper divisors (65482249090).

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

45434343200 is a wasteful number, since it uses less digits than its factorization.

45434343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56792949 (or 56792936 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 45434343200 its reverse (234343454), we get a palindrome (45668686654).

The spelling of 45434343200 in words is "forty-five billion, four hundred thirty-four million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 56792929 113585858 227171716 283964645 454343432 567929290 908686864 1135858580 1419823225 1817373728 2271717160 2839646450 4543434320 5679292900 9086868640 11358585800 22717171600 45434343200