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4775368 = 2313173773
BaseRepresentation
bin10010001101110111001000
322222121120111
4102031313020
52210302433
6250204104
755406233
oct22156710
98877514
104775368
112771894
121723634
13cb2780
148c441a
15644dcd
hex48ddc8

4775368 has 64 divisors (see below), whose sum is σ = 10629360. Its totient is φ = 1990656.

The previous prime is 4775359. The next prime is 4775369. The reversal of 4775368 is 8635774.

It can be written as a sum of positive squares in 8 ways, for example, as 3378244 + 1397124 = 1838^2 + 1182^2 .

It is a d-powerful number, because it can be written as 411 + 72 + 74 + 5 + 312 + 66 + 83 .

It is a self number, because there is not a number n which added to its sum of digits gives 4775368.

It is not an unprimeable number, because it can be changed into a prime (4775369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65380 + ... + 65452.

Almost surely, 24775368 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 4775368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314680).

4775368 is an abundant number, since it is smaller than the sum of its proper divisors (5853992).

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

4775368 is a wasteful number, since it uses less digits than its factorization.

4775368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 4775368 is about 2185.2615404111. The cubic root of 4775368 is about 168.3974903852.

It can be divided in two parts, 47753 and 68, that multiplied together give a square (3247204 = 18022).

The spelling of 4775368 in words is "four million, seven hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 73 74 104 136 146 148 221 292 296 442 481 584 629 884 949 962 1241 1258 1768 1898 1924 2482 2516 2701 3796 3848 4964 5032 5402 7592 8177 9928 10804 16133 16354 21608 32266 32708 35113 45917 64532 65416 70226 91834 129064 140452 183668 280904 367336 596921 1193842 2387684 4775368