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75064500 = 22325372383
BaseRepresentation
bin1000111100101…
…10010010110100
312020020200010200
410132112102310
5123204031000
611240520500
71601015640
oct436262264
9166220120
1075064500
1139410085
1221180130
1312722a84
149d7dc20
1568cb500
hex47964b4

75064500 has 144 divisors (see below), whose sum is σ = 270746112. Its totient is φ = 17150400.

The previous prime is 75064487. The next prime is 75064519. The reversal of 75064500 is 546057.

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 47 ways as a sum of consecutive naturals, for example, 30309 + ... + 32691.

Almost surely, 275064500 is an apocalyptic number.

75064500 is a gapful number since it is divisible by the number (70) 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 75064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135373056).

75064500 is an abundant number, since it is smaller than the sum of its proper divisors (195681612).

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

75064500 is a wasteful number, since it uses less digits than its factorization.

75064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75064500 is about 8663.9771467843. The cubic root of 75064500 is about 421.8371900271.

The spelling of 75064500 in words is "seventy-five million, sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2383 2625 3150 3500 4500 4766 5250 6300 7149 7875 9532 10500 11915 14298 15750 16681 21447 23830 28596 31500 33362 35745 42894 47660 50043 59575 66724 71490 83405 85788 100086 107235 119150 142980 150129 166810 178725 200172 214470 238300 250215 297875 300258 333620 357450 417025 428940 500430 536175 595750 600516 714900 750645 834050 893625 1000860 1072350 1191500 1251075 1501290 1668100 1787250 2085125 2144700 2502150 2680875 3002580 3574500 3753225 4170250 5004300 5361750 6255375 7506450 8340500 10723500 12510750 15012900 18766125 25021500 37532250 75064500