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5466112 = 21117157
BaseRepresentation
bin10100110110100000000000
3101021201002121
4110312200000
52344403422
6313054024
764314121
oct24664000
911251077
105466112
1130a3853
1219b7314
131194cb2
14a24048
1572e8c7
hex536800

5466112 has 48 divisors (see below), whose sum is σ = 11646180. Its totient is φ = 2555904.

The previous prime is 5466103. The next prime is 5466127. The reversal of 5466112 is 2116645.

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 9216 = 2336^2 + 96^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34738 + ... + 34894.

Almost surely, 25466112 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 5466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823090).

5466112 is an abundant number, since it is smaller than the sum of its proper divisors (6180068).

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

5466112 is a wasteful number, since it uses less digits than its factorization.

5466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

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

The square root of 5466112 is about 2337.9717705738. The cubic root of 5466112 is about 176.1541349468.

It can be divided in two parts, 54 and 66112, that added together give a palindrome (66166).

The spelling of 5466112 in words is "five million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 157 256 272 314 512 544 628 1024 1088 1256 2048 2176 2512 2669 4352 5024 5338 8704 10048 10676 17408 20096 21352 34816 40192 42704 80384 85408 160768 170816 321536 341632 683264 1366528 2733056 5466112