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66497000 = 2353292293
BaseRepresentation
bin1111110110101…
…0100111101000
311122010101201212
43331222213220
5114010401000
610333132252
71435133543
oct375524750
9148111655
1066497000
11345991a9
121a32a088
1310a1324b
148b8d85a
155c87c35
hex3f6a9e8

66497000 has 64 divisors (see below), whose sum is σ = 161038800. Its totient is φ = 25670400.

The previous prime is 66496987. The next prime is 66497009. The reversal of 66497000 is 79466.

It can be written as a sum of positive squares in 8 ways, for example, as 465124 + 66031876 = 682^2 + 8126^2 .

It is not an unprimeable number, because it can be changed into a prime (66497009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27854 + ... + 30146.

Almost surely, 266497000 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 66497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80519400).

66497000 is an abundant number, since it is smaller than the sum of its proper divisors (94541800).

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

66497000 is a wasteful number, since it uses less digits than its factorization.

66497000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 66497000 is about 8154.5692712736. The cubic root of 66497000 is about 405.1358585004.

The spelling of 66497000 in words is "sixty-six million, four hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2293 2900 3625 4586 5800 7250 9172 11465 14500 18344 22930 29000 45860 57325 66497 91720 114650 132994 229300 265988 286625 332485 458600 531976 573250 664970 1146500 1329940 1662425 2293000 2659880 3324850 6649700 8312125 13299400 16624250 33248500 66497000