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66250000 = 245753
BaseRepresentation
bin1111110010111…
…0010100010000
311121122211220201
43330232110100
5113430000000
610323544544
71433054455
oct374562420
9147584821
1066250000
113443a673
121a22b154
13109579ab
148b2782c
155c3996a
hex3f2e510

66250000 has 80 divisors (see below), whose sum is σ = 163476144. Its totient is φ = 26000000.

The previous prime is 66249983. The next prime is 66250027. The reversal of 66250000 is 5266.

66250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 57032704 + 9217296 = 7552^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 66250000.

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 15 ways as a sum of consecutive naturals, for example, 1249974 + ... + 1250026.

Almost surely, 266250000 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 66250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81738072).

66250000 is an abundant number, since it is smaller than the sum of its proper divisors (97226144).

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

66250000 is an frugal number, since it uses more digits than its factorization.

66250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 66250000 is about 8139.4102980499. The cubic root of 66250000 is about 404.6336167283.

Adding to 66250000 its reverse (5266), we get a palindrome (66255266).

The spelling of 66250000 in words is "sixty-six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 3125 4240 5000 5300 6250 6625 10000 10600 12500 13250 15625 21200 25000 26500 31250 33125 50000 53000 62500 66250 78125 106000 125000 132500 156250 165625 250000 265000 312500 331250 530000 625000 662500 828125 1250000 1325000 1656250 2650000 3312500 4140625 6625000 8281250 13250000 16562500 33125000 66250000