Search a number
-
+
4546116 = 2232373413
BaseRepresentation
bin10001010101111001000100
322112222002200
4101111321010
52130433431
6241234500
753432661
oct21257104
98488080
104546116
112625623
121632a30
13c32313
14864a68
155ebee6
hex455e44

4546116 has 36 divisors (see below), whose sum is σ = 11805612. Its totient is φ = 1473984.

The previous prime is 4546081. The next prime is 4546133. The reversal of 4546116 is 6116454.

4546116 is a `hidden beast` number, since 4 + 546 + 116 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 360000 = 2046^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 4546116.

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, 375 + ... + 3038.

Almost surely, 24546116 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 4546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902806).

4546116 is an abundant number, since it is smaller than the sum of its proper divisors (7259496).

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

4546116 is a wasteful number, since it uses less digits than its factorization.

4546116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3455 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4546116 is about 2132.1622827543. The cubic root of 4546116 is about 165.6584159941.

The spelling of 4546116 in words is "four million, five hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3413 6826 10239 13652 20478 30717 40956 61434 122868 126281 252562 378843 505124 757686 1136529 1515372 2273058 4546116