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4505730100 = 225282154881
BaseRepresentation
bin1000011001000111…
…11111110000110100
3102122000022210201121
410030203333300310
533211431330400
62023033233324
7216441034234
oct41443776064
912560283647
104505730100
111a02404793
12a58b62844
1356a6319b1
1430a59bcc4
151b587121a
hex10c8ffc34

4505730100 has 36 divisors (see below), whose sum is σ = 9789521868. Its totient is φ = 1800064000.

The previous prime is 4505730083. The next prime is 4505730127. The reversal of 4505730100 is 10375054.

It can be written as a sum of positive squares in 6 ways, for example, as 1168819344 + 3336910756 = 34188^2 + 57766^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54660 + ... + 109540.

It is an arithmetic number, because the mean of its divisors is an integer number (271931163).

Almost surely, 24505730100 is an apocalyptic number.

It is an amenable number.

4505730100 is an abundant number, since it is smaller than the sum of its proper divisors (5283791768).

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

4505730100 is a wasteful number, since it uses less digits than its factorization.

4505730100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55716 (or 55709 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 4505730100 is about 67124.7353812289. The cubic root of 4505730100 is about 1651.6640817887.

It can be divided in two parts, 45057 and 30100, that added together give a palindrome (75157).

The spelling of 4505730100 in words is "four billion, five hundred five million, seven hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 821 1642 3284 4105 8210 16420 20525 41050 54881 82100 109762 219524 274405 548810 1097620 1372025 2744050 5488100 45057301 90114602 180229204 225286505 450573010 901146020 1126432525 2252865050 4505730100