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66272256 = 210341747
BaseRepresentation
bin1111110011001…
…1110000000000
311121200222110000
43330303300000
5113431203011
610324240000
71433206401
oct374636000
9147628400
1066272256
1134455366
121a240000
1310964b6b
148b319a8
155c41356
hex3f33c00

66272256 has 220 divisors, whose sum is σ = 214001568. Its totient is φ = 20348928.

The previous prime is 66272251. The next prime is 66272257. The reversal of 66272256 is 65227266.

66272256 is a `hidden beast` number, since 6 + 627 + 2 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (96).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66272256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66272251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1410025 + ... + 1410071.

Almost surely, 266272256 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 66272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000784).

66272256 is an abundant number, since it is smaller than the sum of its proper divisors (147729312).

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

66272256 is a wasteful number, since it uses less digits than its factorization.

66272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 66272256 is about 8140.7773584591. Note that the first 3 decimals coincide. The cubic root of 66272256 is about 404.6789224769.

The spelling of 66272256 in words is "sixty-six million, two hundred seventy-two thousand, two hundred fifty-six".