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755666352 = 243272572917
BaseRepresentation
bin101101000010101…
…000110110110000
31221122220211100200
4231002220312300
53021422310402
6202552315200
724504025620
oct5502506660
91848824320
10755666352
11358610351
121910a2b00
13c072c96c
1472508880
154651b21c
hex2d0a8db0

755666352 has 120 divisors (see below), whose sum is σ = 2427169056. Its totient is φ = 214990848.

The previous prime is 755666321. The next prime is 755666389. The reversal of 755666352 is 253666557.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 755666298 and 755666307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257598 + ... + 260514.

Almost surely, 2755666352 is an apocalyptic number.

755666352 is a gapful number since it is divisible by the number (72) 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 755666352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213584528).

755666352 is an abundant number, since it is smaller than the sum of its proper divisors (1671502704).

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

755666352 is a wasteful number, since it uses less digits than its factorization.

755666352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3186 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 755666352 is about 27489.3861699384. The cubic root of 755666352 is about 910.8426570495.

It can be divided in two parts, 75566 and 6352, that added together give a palindrome (81918).

The spelling of 755666352 in words is "seven hundred fifty-five million, six hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 257 336 504 514 771 1008 1028 1542 1799 2056 2313 2917 3084 3598 4112 4626 5397 5834 6168 7196 8751 9252 10794 11668 12336 14392 16191 17502 18504 20419 21588 23336 26253 28784 32382 35004 37008 40838 43176 46672 52506 61257 64764 70008 81676 86352 105012 122514 129528 140016 163352 183771 210024 245028 259056 326704 367542 420048 490056 735084 749669 980112 1470168 1499338 2249007 2940336 2998676 4498014 5247683 5997352 6747021 8996028 10495366 11994704 13494042 15743049 17992056 20990732 26988084 31486098 35984112 41981464 47229147 53976168 62972196 83962928 94458294 107952336 125944392 188916588 251888784 377833176 755666352