Search a number
-
+
755083864 = 231931376171
BaseRepresentation
bin101101000000011…
…010101001011000
31221121211020100001
4231000122221120
53021300140424
6202532022344
724466051453
oct5500325130
91847736301
10755083864
11358252757
12190a619b4
13c05877b2
14723d649a
1546453844
hex2d01aa58

755083864 has 128 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 326592000.

The previous prime is 755083853. The next prime is 755083867. The reversal of 755083864 is 468380557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755083867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10634949 + ... + 10635019.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2755083864 is an apocalyptic number.

755083864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

755083864 is an abundant number, since it is smaller than the sum of its proper divisors (873383336).

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

755083864 is a wasteful number, since it uses less digits than its factorization.

755083864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 755083864 is about 27478.7893474221. The cubic root of 755083864 is about 910.6085628638.

The spelling of 755083864 in words is "seven hundred fifty-five million, eighty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 19 31 37 38 61 62 71 74 76 122 124 142 148 152 244 248 284 296 488 568 589 703 1147 1159 1178 1349 1406 1891 2201 2257 2294 2318 2356 2627 2698 2812 3782 4331 4402 4514 4588 4636 4712 5254 5396 5624 7564 8662 8804 9028 9176 9272 10508 10792 15128 17324 17608 18056 21016 21793 34648 35929 41819 42883 43586 49913 69967 71858 81437 82289 83638 85766 87172 99826 134261 139934 143716 160247 162874 164578 167276 171532 174344 199652 268522 279868 287432 320494 325748 329156 334552 343064 399304 537044 559736 640988 651496 658312 1074088 1281976 1329373 1547303 2550959 2658746 3044693 3094606 4967657 5101918 5317492 6089386 6189212 9935314 10203836 10634984 12178772 12378424 19870628 20407672 24357544 39741256 94385483 188770966 377541932 755083864