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64545300 = 223252292473
BaseRepresentation
bin1111011000111…
…0001000010100
311111110020111200
43312032020110
5113010422200
610223232500
71412424501
oct366161024
9144406450
1064545300
1133485926
1219748730
13104abab1
1488024a8
1559ee800
hex3d8e214

64545300 has 108 divisors (see below), whose sum is σ = 209374620. Its totient is φ = 16611840.

The previous prime is 64545287. The next prime is 64545301. The reversal of 64545300 is 354546.

It can be written as a sum of positive squares in 6 ways, for example, as 144 + 64545156 = 12^2 + 8034^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64545301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24864 + ... + 27336.

Almost surely, 264545300 is an apocalyptic number.

64545300 is a gapful number since it is divisible by the number (60) 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 64545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104687310).

64545300 is an abundant number, since it is smaller than the sum of its proper divisors (144829320).

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

64545300 is a wasteful number, since it uses less digits than its factorization.

64545300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64545300 is about 8034.0089619069. The cubic root of 64545300 is about 401.1328303763.

Adding to 64545300 its reverse (354546), we get a palindrome (64899846).

The spelling of 64545300 in words is "sixty-four million, five hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2473 2610 2900 4350 4946 5220 6525 7419 8700 9892 12365 13050 14838 22257 24730 26100 29676 37095 44514 49460 61825 71717 74190 89028 111285 123650 143434 148380 185475 215151 222570 247300 286868 358585 370950 430302 445140 556425 645453 717170 741900 860604 1075755 1112850 1290906 1434340 1792925 2151510 2225700 2581812 3227265 3585850 4303020 5378775 6454530 7171700 10757550 12909060 16136325 21515100 32272650 64545300