Search a number
-
+
2052444900 = 22352113120063
BaseRepresentation
bin111101001010101…
…1101001011100100
312022001001000002210
41322111131023210
513200411214100
6535355003420
7101601331242
oct17225351344
95261030083
102052444900
11963608260
12493439570
132692aa54c
1415682b792
15c02c1c50
hex7a55d2e4

2052444900 has 144 divisors (see below), whose sum is σ = 6687571968. Its totient is φ = 481488000.

The previous prime is 2052444893. The next prime is 2052444907. The reversal of 2052444900 is 94442502.

It is an interprime number because it is at equal distance from previous prime (2052444893) and next prime (2052444907).

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

It is not an unprimeable number, because it can be changed into a prime (2052444907) 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 47 ways as a sum of consecutive naturals, for example, 92269 + ... + 112331.

It is an arithmetic number, because the mean of its divisors is an integer number (46441472).

Almost surely, 22052444900 is an apocalyptic number.

2052444900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343785984).

2052444900 is an abundant number, since it is smaller than the sum of its proper divisors (4635127068).

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

2052444900 is a wasteful number, since it uses less digits than its factorization.

2052444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20115 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2052444900 is about 45303.9170491912. The cubic root of 2052444900 is about 1270.8389067449.

The spelling of 2052444900 in words is "two billion, fifty-two million, four hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20063 20460 25575 34100 40126 51150 60189 80252 100315 102300 120378 200630 220693 240756 300945 401260 441386 501575 601890 621953 662079 882772 1003150 1103465 1203780 1243906 1324158 1504725 1865859 2006300 2206930 2487812 2648316 3009450 3109765 3310395 3731718 4413860 5517325 6018900 6219530 6620790 6841483 7463436 9329295 11034650 12439060 13241580 13682966 15548825 16551975 18658590 20524449 22069300 27365932 31097650 33103950 34207415 37317180 41048898 46646475 62195300 66207900 68414830 82097796 93292950 102622245 136829660 171037075 186585900 205244490 342074150 410488980 513111225 684148300 1026222450 2052444900