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66050800 = 2452612707
BaseRepresentation
bin1111101111110…
…1101011110000
311121021201122221
43323331223300
5113402111200
610315410424
71431264634
oct373755360
9147251587
1066050800
1134313a42
121a153a14
13108b811a
148ab4dc4
155bea91a
hex3efdaf0

66050800 has 60 divisors (see below), whose sum is σ = 161348056. Its totient is φ = 25977600.

The previous prime is 66050791. The next prime is 66050813. The reversal of 66050800 is 805066.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23047 + ... + 25753.

Almost surely, 266050800 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 66050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80674028).

66050800 is an abundant number, since it is smaller than the sum of its proper divisors (95297256).

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

66050800 is a wasteful number, since it uses less digits than its factorization.

66050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 66050800 is about 8127.1643271193. The cubic root of 66050800 is about 404.2276598117.

Adding to 66050800 its reverse (805066), we get a palindrome (66855866).

The spelling of 66050800 in words is "sixty-six million, fifty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 2707 3050 4880 5414 6100 10828 12200 13535 21656 24400 27070 43312 54140 67675 108280 135350 165127 216560 270700 330254 541400 660508 825635 1082800 1321016 1651270 2642032 3302540 4128175 6605080 8256350 13210160 16512700 33025400 66050800