Search a number
-
+
755089764 = 22311131313359
BaseRepresentation
bin101101000000011…
…100000101100100
31221121211112102120
4231000130011210
53021300333024
6202532105540
724466104612
oct5500340544
91847745376
10755089764
11358257130
12190a652b0
13c058a3a0
14723d86b2
1546455479
hex2d01c164

755089764 has 96 divisors (see below), whose sum is σ = 2086318080. Its totient is φ = 209539200.

The previous prime is 755089763. The next prime is 755089801. The reversal of 755089764 is 467980557.

It is not an unprimeable number, because it can be changed into a prime (755089763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 223117 + ... + 226475.

It is an arithmetic number, because the mean of its divisors is an integer number (21732480).

Almost surely, 2755089764 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 755089764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043159040).

755089764 is an abundant number, since it is smaller than the sum of its proper divisors (1331228316).

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

755089764 is a wasteful number, since it uses less digits than its factorization.

755089764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 755089764 is about 27478.8967027426. The cubic root of 755089764 is about 910.6109345988.

The spelling of 755089764 in words is "seven hundred fifty-five million, eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 131 132 143 156 262 286 393 429 524 572 786 858 1441 1572 1703 1716 2882 3359 3406 4323 5109 5764 6718 6812 8646 10077 10218 13436 17292 18733 20154 20436 36949 37466 40308 43667 56199 73898 74932 87334 110847 112398 131001 147796 174668 221694 224796 262002 440029 443388 480337 524004 880058 960674 1320087 1441011 1760116 1921348 2640174 2882022 4840319 5280348 5720377 5764044 9680638 11440754 14520957 17161131 19361276 22881508 29041914 34322262 58083828 62924147 68644524 125848294 188772441 251696588 377544882 755089764