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4775300 = 225217532
BaseRepresentation
bin10010001101110110000100
322222121110222
4102031312010
52210302200
6250203512
755406105
oct22156604
98877428
104775300
112771832
121723598
13cb272a
148c43ac
15644d85
hex48dd84

4775300 has 54 divisors (see below), whose sum is σ = 11182878. Its totient is φ = 1763840.

The previous prime is 4775299. The next prime is 4775321. The reversal of 4775300 is 35774.

4775300 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 9 ways, for example, as 118336 + 4656964 = 344^2 + 2158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4775300.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90074 + ... + 90126.

Almost surely, 24775300 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 4775300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591439).

4775300 is an abundant number, since it is smaller than the sum of its proper divisors (6407578).

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

4775300 is a wasteful number, since it uses less digits than its factorization.

4775300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 4775300 is about 2185.2459815774. The cubic root of 4775300 is about 168.3966910693.

It can be divided in two parts, 477 and 5300, that multiplied together give a square (2528100 = 15902).

The spelling of 4775300 in words is "four million, seven hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 2809 3604 4505 5300 5618 9010 11236 14045 18020 22525 28090 45050 47753 56180 70225 90100 95506 140450 191012 238765 280900 477530 955060 1193825 2387650 4775300