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4712288 = 257109193
BaseRepresentation
bin10001111110011101100000
322212102001012
4101332131200
52201243123
6245000052
755024310
oct21763540
98772035
104712288
112729459
1216b3028
13c8cb49
148a9440
15631378
hex47e760

4712288 has 48 divisors (see below), whose sum is σ = 10755360. Its totient is φ = 1990656.

The previous prime is 4712287. The next prime is 4712291. The reversal of 4712288 is 8822174.

4712288 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

4712288 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24320 + ... + 24512.

It is an arithmetic number, because the mean of its divisors is an integer number (224070).

Almost surely, 24712288 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 4712288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377680).

4712288 is an abundant number, since it is smaller than the sum of its proper divisors (6043072).

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

4712288 is a wasteful number, since it uses less digits than its factorization.

4712288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 4712288 is about 2170.7805047955. The cubic root of 4712288 is about 167.6527217781.

The spelling of 4712288 in words is "four million, seven hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 193 218 224 386 436 763 772 872 1351 1526 1544 1744 2702 3052 3088 3488 5404 6104 6176 10808 12208 21037 21616 24416 42074 43232 84148 147259 168296 294518 336592 589036 673184 1178072 2356144 4712288