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64525000 = 23552989
BaseRepresentation
bin1111011000100…
…1001011001000
311111102012122211
43312021023020
5113004300000
610222554504
71412311351
oct366111310
9144365584
1064525000
1133471651
1219738a34
13104a2797
1487d8d28
1559e87ba
hex3d892c8

64525000 has 96 divisors (see below), whose sum is σ = 158193000. Its totient is φ = 24640000.

The previous prime is 64524991. The next prime is 64525037. The reversal of 64525000 is 52546.

It can be written as a sum of positive squares in 12 ways, for example, as 39664804 + 24860196 = 6298^2 + 4986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724956 + ... + 725044.

Almost surely, 264525000 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 64525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79096500).

64525000 is an abundant number, since it is smaller than the sum of its proper divisors (93668000).

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

64525000 is an equidigital number, since it uses as much as digits as its factorization.

64525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 64525000 is about 8032.7454833326. The cubic root of 64525000 is about 401.0907728328.

Adding to 64525000 its reverse (52546), we get a palindrome (64577546).

The spelling of 64525000 in words is "sixty-four million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 89 100 116 125 145 178 200 232 250 290 356 445 500 580 625 712 725 890 1000 1160 1250 1450 1780 2225 2500 2581 2900 3125 3560 3625 4450 5000 5162 5800 6250 7250 8900 10324 11125 12500 12905 14500 17800 18125 20648 22250 25000 25810 29000 36250 44500 51620 55625 64525 72500 89000 90625 103240 111250 129050 145000 181250 222500 258100 278125 322625 362500 445000 516200 556250 645250 725000 1112500 1290500 1613125 2225000 2581000 3226250 6452500 8065625 12905000 16131250 32262500 64525000