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4714000 = 24532357
BaseRepresentation
bin10001111110111000010000
322212111101121
4101332320100
52201322000
6245012024
755032304
oct21767020
98774347
104714000
11272a775
1216b4014
13c90865
148a9d04
15631b1a
hex47ee10

4714000 has 40 divisors (see below), whose sum is σ = 11403288. Its totient is φ = 1884800.

The previous prime is 4713991. The next prime is 4714067. The reversal of 4714000 is 4174.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 4048144 = 816^2 + 2012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 822 + ... + 3178.

Almost surely, 24714000 is an apocalyptic number.

4714000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701644).

4714000 is an abundant number, since it is smaller than the sum of its proper divisors (6689288).

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

4714000 is a wasteful number, since it uses less digits than its factorization.

4714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4714000 is about 2171.1747972008. The cubic root of 4714000 is about 167.6730223700.

Adding to 4714000 its reverse (4174), we get a palindrome (4718174).

The spelling of 4714000 in words is "four million, seven hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2357 4714 9428 11785 18856 23570 37712 47140 58925 94280 117850 188560 235700 294625 471400 589250 942800 1178500 2357000 4714000