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64812500 = 22561761
BaseRepresentation
bin1111011100111…
…1010111010100
311111221211000222
43313033113110
5113043000000
610233053512
71414616504
oct367172724
9144854028
1064812500
1133648655
1219857298
13105735bc
148871a04
155a53a85
hex3dcf5d4

64812500 has 84 divisors (see below), whose sum is σ = 152576172. Its totient is φ = 24000000.

The previous prime is 64812463. The next prime is 64812511. The reversal of 64812500 is 521846.

It can be written as a sum of positive squares in 14 ways, for example, as 45346756 + 19465744 = 6734^2 + 4412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64812500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1062470 + ... + 1062530.

It is an arithmetic number, because the mean of its divisors is an integer number (1816383).

Almost surely, 264812500 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 64812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76288086).

64812500 is an abundant number, since it is smaller than the sum of its proper divisors (87763672).

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

64812500 is an equidigital number, since it uses as much as digits as its factorization.

64812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 64812500 is about 8050.6210940523. The cubic root of 64812500 is about 401.6855952773.

The spelling of 64812500 in words is "sixty-four million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 125 170 244 250 305 340 425 500 610 625 850 1037 1220 1250 1525 1700 2074 2125 2500 3050 3125 4148 4250 5185 6100 6250 7625 8500 10370 10625 12500 15250 15625 20740 21250 25925 30500 31250 38125 42500 51850 53125 62500 76250 103700 106250 129625 152500 190625 212500 259250 265625 381250 518500 531250 648125 762500 953125 1062500 1296250 1906250 2592500 3240625 3812500 6481250 12962500 16203125 32406250 64812500