Search a number
-
+
755005050 = 23452277673
BaseRepresentation
bin101101000000000…
…111011001111010
31221121200020020000
4231000013121322
53021240130200
6202530213430
724465302622
oct5500073172
91847606200
10755005050
113581a9518
12190a24276
13c055a967
14723b5882
154643a300
hex2d00767a

755005050 has 120 divisors (see below), whose sum is σ = 2108497116. Its totient is φ = 200309760.

The previous prime is 755005021. The next prime is 755005057. The reversal of 755005050 is 50500557.

It can be written as a sum of positive squares in 6 ways, for example, as 102151449 + 652853601 = 10107^2 + 25551^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (755005057) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1121514 + ... + 1122186.

Almost surely, 2755005050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054248558).

755005050 is an abundant number, since it is smaller than the sum of its proper divisors (1353492066).

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

755005050 is a wasteful number, since it uses less digits than its factorization.

755005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 27.

The square root of 755005050 is about 27477.3552220733. The cubic root of 755005050 is about 910.5768793189.

The spelling of 755005050 in words is "seven hundred fifty-five million, five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 277 405 450 554 673 675 810 831 1346 1350 1385 1662 2019 2025 2493 2770 3365 4038 4050 4155 4986 6057 6730 6925 7479 8310 10095 12114 12465 13850 14958 16825 18171 20190 20775 22437 24930 30285 33650 36342 37395 41550 44874 50475 54513 60570 62325 74790 90855 100950 109026 112185 124650 151425 181710 186421 186975 224370 272565 302850 372842 373950 454275 545130 559263 560925 908550 932105 1118526 1121850 1362825 1677789 1864210 2725650 2796315 3355578 4660525 5033367 5592630 8388945 9321050 10066734 13981575 15100101 16777890 25166835 27963150 30200202 41944725 50333670 75500505 83889450 125834175 151001010 251668350 377502525 755005050