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4764416 = 2837503
BaseRepresentation
bin10010001011001100000000
322222001112212
4102023030000
52204430131
6250041252
755332266
oct22131400
98861485
104764416
112764638
121719228
13caa7a7
148c0436
15641a2b
hex48b300

4764416 has 36 divisors (see below), whose sum is σ = 9786672. Its totient is φ = 2313216.

The previous prime is 4764413. The next prime is 4764433. The reversal of 4764416 is 6144674.

4764416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (4764413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9221 + ... + 9723.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 24764416 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 4764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893336).

4764416 is an abundant number, since it is smaller than the sum of its proper divisors (5022256).

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

4764416 is an equidigital number, since it uses as much as digits as its factorization.

4764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 4764416 is about 2182.7542234526. The cubic root of 4764416 is about 168.2686555650.

The spelling of 4764416 in words is "four million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 503 592 1006 1184 2012 2368 4024 4736 8048 9472 16096 18611 32192 37222 64384 74444 128768 148888 297776 595552 1191104 2382208 4764416