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755403138 = 2337611812
BaseRepresentation
bin101101000001101…
…000100110000010
31221122102110022000
4231001220212002
53021340400023
6202542524430
724501551340
oct5501504602
91848373260
10755403138
11358450616
12190b96716
13c0669c09
147247a990
15464b8243
hex2d068982

755403138 has 96 divisors (see below), whose sum is σ = 1960767360. Its totient is φ = 211118400.

The previous prime is 755403119. The next prime is 755403149. The reversal of 755403138 is 831304557.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4173408 + ... + 4173588.

It is an arithmetic number, because the mean of its divisors is an integer number (20424660).

Almost surely, 2755403138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755403138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980383680).

755403138 is an abundant number, since it is smaller than the sum of its proper divisors (1205364222).

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

755403138 is a wasteful number, since it uses less digits than its factorization.

755403138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 755403138 is about 27484.5981960807. The cubic root of 755403138 is about 910.7368897444.

The spelling of 755403138 in words is "seven hundred fifty-five million, four hundred three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 181 183 189 362 366 378 427 543 549 854 1086 1098 1267 1281 1629 1647 2534 2562 3258 3294 3801 3843 4887 7602 7686 9774 11041 11403 11529 22082 22806 23058 32761 33123 34209 65522 66246 68418 77287 98283 99369 154574 196566 198738 229327 231861 294849 298107 458654 463722 589698 596214 687981 695583 884547 1375962 1391166 1769094 1998421 2063943 2086749 3996842 4127886 4173498 5995263 6191829 11990526 12383658 13988947 17985789 27977894 35971578 41966841 53957367 83933682 107914734 125900523 251801046 377701569 755403138