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4973085 = 325138501
BaseRepresentation
bin10010111110001000011101
3100100122210100
4102332020131
52233114320
6254331313
760161535
oct22761035
910318710
104973085
112897397
1217b9b39
131051770
149364c5
15683790
hex4be21d

4973085 has 24 divisors (see below), whose sum is σ = 9284184. Its totient is φ = 2448000.

The previous prime is 4973077. The next prime is 4973107. The reversal of 4973085 is 5803794.

4973085 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 4901796 = 267^2 + 2214^2 .

It is not a de Polignac number, because 4973085 - 23 = 4973077 is a prime.

It is a Curzon number.

4973085 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (386841).

Almost surely, 24973085 is an apocalyptic number.

4973085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4973085 is a deficient number, since it is larger than the sum of its proper divisors (4311099).

4973085 is a wasteful number, since it uses less digits than its factorization.

4973085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4973085 is about 2230.0414794349. The cubic root of 4973085 is about 170.6902157819.

The spelling of 4973085 in words is "four million, nine hundred seventy-three thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 8501 25503 42505 76509 110513 127515 331539 382545 552565 994617 1657695 4973085