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4973112 = 2332172239
BaseRepresentation
bin10010111110001000111000
3100100122211100
4102332020320
52233114422
6254331400
760161604
oct22761070
910318740
104973112
112897411
1217b9b60
131051791
14936504
156837ac
hex4be238

4973112 has 72 divisors (see below), whose sum is σ = 14367600. Its totient is φ = 1553664.

The previous prime is 4973107. The next prime is 4973119. The reversal of 4973112 is 2113794.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20689 + ... + 20927.

It is an arithmetic number, because the mean of its divisors is an integer number (199550).

Almost surely, 24973112 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 4973112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183800).

4973112 is an abundant number, since it is smaller than the sum of its proper divisors (9394488).

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

4973112 is a wasteful number, since it uses less digits than its factorization.

4973112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 4973112 is about 2230.0475331257. The cubic root of 4973112 is about 170.6905246866.

The spelling of 4973112 in words is "four million, nine hundred seventy-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 239 289 306 408 478 578 612 717 867 956 1156 1224 1434 1734 1912 2151 2312 2601 2868 3468 4063 4302 5202 5736 6936 8126 8604 10404 12189 16252 17208 20808 24378 32504 36567 48756 69071 73134 97512 138142 146268 207213 276284 292536 414426 552568 621639 828852 1243278 1657704 2486556 4973112