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4945584 = 243741359
BaseRepresentation
bin10010110111011010110000
3100022021001210
4102313122300
52231224314
6254000120
760015420
oct22673260
910267053
104945584
112878766
1217a6040
1310420a7
1492a480
1567a559
hex4b76b0

4945584 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1374720.

The previous prime is 4945579. The next prime is 4945597. The reversal of 4945584 is 4855494.

4945584 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49455842 = 48917602202112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13597 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 24945584 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 4945584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4945584 is an abundant number, since it is smaller than the sum of its proper divisors (10053456).

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

4945584 is a wasteful number, since it uses less digits than its factorization.

4945584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 4945584 is about 2223.8669024921. The cubic root of 4945584 is about 170.3749968825.

Subtracting from 4945584 its product of digits (115200), we obtain a palindrome (4830384).

The spelling of 4945584 in words is "four million, nine hundred forty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 359 492 574 656 718 861 984 1077 1148 1436 1722 1968 2154 2296 2513 2872 3444 4308 4592 5026 5744 6888 7539 8616 10052 13776 14719 15078 17232 20104 29438 30156 40208 44157 58876 60312 88314 103033 117752 120624 176628 206066 235504 309099 353256 412132 618198 706512 824264 1236396 1648528 2472792 4945584