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64545000 = 2335413331
BaseRepresentation
bin1111011000111…
…0000011101000
311111110020002120
43312032003220
5113010420000
610223231240
71412423562
oct366160350
9144406076
1064545000
1133485683
1219748520
13104ab910
148802332
1559ee6a0
hex3d8e0e8

64545000 has 160 divisors (see below), whose sum is σ = 217805280. Its totient is φ = 15840000.

The previous prime is 64544993. The next prime is 64545001. The reversal of 64545000 is 54546.

64545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64545001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 194835 + ... + 195165.

It is an arithmetic number, because the mean of its divisors is an integer number (1361283).

Almost surely, 264545000 is an apocalyptic number.

64545000 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 64545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108902640).

64545000 is an abundant number, since it is smaller than the sum of its proper divisors (153260280).

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

64545000 is a wasteful number, since it uses less digits than its factorization.

64545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 64545000 is about 8033.9902912563. The cubic root of 64545000 is about 401.1322089005.

Adding to 64545000 its reverse (54546), we get a palindrome (64599546).

The spelling of 64545000 in words is "sixty-four million, five hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 331 375 390 500 520 600 625 650 662 750 780 975 993 1000 1250 1300 1324 1500 1560 1625 1655 1875 1950 1986 2500 2600 2648 3000 3250 3310 3750 3900 3972 4303 4875 4965 5000 6500 6620 7500 7800 7944 8125 8275 8606 9750 9930 12909 13000 13240 15000 16250 16550 17212 19500 19860 21515 24375 24825 25818 32500 33100 34424 39000 39720 41375 43030 48750 49650 51636 64545 65000 66200 82750 86060 97500 99300 103272 107575 124125 129090 165500 172120 195000 198600 206875 215150 248250 258180 322725 331000 413750 430300 496500 516360 537875 620625 645450 827500 860600 993000 1075750 1241250 1290900 1613625 1655000 2151500 2482500 2581800 2689375 3227250 4303000 4965000 5378750 6454500 8068125 10757500 12909000 16136250 21515000 32272500 64545000