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755907152 = 2471113109433
BaseRepresentation
bin101101000011100…
…011101001010000
31221200101001200012
4231003203221100
53022003012102
6203001414052
724506050640
oct5503435120
91850331605
10755907152
11358765260
1219119a328
13c07b5450
147256c520
1546567752
hex2d0e3a50

755907152 has 160 divisors (see below), whose sum is σ = 1989039360. Its totient is φ = 268738560.

The previous prime is 755907143. The next prime is 755907209. The reversal of 755907152 is 251709557.

It is a super-2 number, since 2×7559071522 = 1142791244889502208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1745528 + ... + 1745960.

It is an arithmetic number, because the mean of its divisors is an integer number (12431496).

Almost surely, 2755907152 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 755907152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994519680).

755907152 is an abundant number, since it is smaller than the sum of its proper divisors (1233132208).

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

755907152 is a wasteful number, since it uses less digits than its factorization.

755907152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 41.

The square root of 755907152 is about 27493.7656933349. The cubic root of 755907152 is about 910.9393962246.

The spelling of 755907152 in words is "seven hundred fifty-five million, nine hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 109 112 143 154 176 182 208 218 286 308 364 433 436 572 616 728 763 866 872 1001 1144 1199 1232 1417 1456 1526 1732 1744 2002 2288 2398 2834 3031 3052 3464 4004 4763 4796 5629 5668 6062 6104 6928 8008 8393 9526 9592 9919 11258 11336 12124 12208 15587 16016 16786 19052 19184 19838 22516 22672 24248 31174 33341 33572 38104 39403 39676 45032 47197 48496 61919 62348 66682 67144 76208 78806 79352 90064 94394 109109 123838 124696 133364 134288 157612 158704 188788 218218 247676 249392 266728 315224 330379 377576 433433 436436 495352 519167 533456 613561 630448 660758 755152 866866 872872 990704 1038334 1227122 1321516 1733732 1745744 2076668 2454244 2643032 3467464 3634169 4153336 4294927 4908488 5286064 6749171 6934928 7268338 8306672 8589854 9816976 13498342 14536676 17179708 26996684 29073352 34359416 47244197 53993368 58146704 68718832 94488394 107986736 188976788 377953576 755907152