Search a number
-
+
4575714100 = 22521014491009
BaseRepresentation
bin1000100001011101…
…11101101100110100
3102210220000100201121
410100232331230310
533332340322400
62034013233324
7221250633226
oct42056755464
912726010647
104575714100
111a38964801
12a78492844
1357bc96149
143159b8416
151bba9721a
hex110bbdb34

4575714100 has 72 divisors (see below), whose sum is σ = 10059903000. Its totient is φ = 1806336000.

The previous prime is 4575714097. The next prime is 4575714107. The reversal of 4575714100 is 14175754.

It can be written as a sum of positive squares in 12 ways, for example, as 360848016 + 4214866084 = 18996^2 + 64922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575714107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4534396 + ... + 4535404.

It is an arithmetic number, because the mean of its divisors is an integer number (139720875).

Almost surely, 24575714100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4575714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029951500).

4575714100 is an abundant number, since it is smaller than the sum of its proper divisors (5484188900).

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

4575714100 is a wasteful number, since it uses less digits than its factorization.

4575714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 4575714100 is about 67644.0248654676. The cubic root of 4575714100 is about 1660.1715238643.

Adding to 4575714100 its reverse (14175754), we get a palindrome (4589889854).

The spelling of 4575714100 in words is "four billion, five hundred seventy-five million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 449 505 898 1009 1010 1796 2018 2020 2245 2525 4036 4490 5045 5050 8980 10090 10100 11225 20180 22450 25225 44900 45349 50450 90698 100900 101909 181396 203818 226745 407636 453041 453490 509545 906082 906980 1019090 1133725 1812164 2038180 2265205 2267450 2547725 4530410 4534900 5095450 9060820 10190900 11326025 22652050 45304100 45757141 91514282 183028564 228785705 457571410 915142820 1143928525 2287857050 4575714100