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4714416 = 243371559
BaseRepresentation
bin10001111110111110110000
322212111222000
4101332332300
52201330131
6245014000
755033440
oct21767660
98774860
104714416
112730013
1216b4300
13c90ac5
148aa120
15631ce6
hex47efb0

4714416 has 80 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1346112.

The previous prime is 4714397. The next prime is 4714417. The reversal of 4714416 is 6144174.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4714416.

It is not an unprimeable number, because it can be changed into a prime (4714417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245 + ... + 3803.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 24714416 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 4714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4714416 is an abundant number, since it is smaller than the sum of its proper divisors (10760784).

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

4714416 is a wasteful number, since it uses less digits than its factorization.

4714416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4714416 is about 2171.2705957572. The cubic root of 4714416 is about 167.6779544819.

The spelling of 4714416 in words is "four million, seven hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1559 3024 3118 4677 6236 9354 10913 12472 14031 18708 21826 24944 28062 32739 37416 42093 43652 56124 65478 74832 84186 87304 98217 112248 130956 168372 174608 196434 224496 261912 294651 336744 392868 523824 589302 673488 785736 1178604 1571472 2357208 4714416