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4928544 = 2532109157
BaseRepresentation
bin10010110011010000100000
3100021101200200
4102303100200
52230203134
6253345200
756614635
oct22632040
910241620
104928544
112866985
121798200
1310373ca
1492418c
15675499
hex4b3420

4928544 has 72 divisors (see below), whose sum is σ = 14234220. Its totient is φ = 1617408.

The previous prime is 4928537. The next prime is 4928549. The reversal of 4928544 is 4458294.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 144 = 2220^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4928499 and 4928508.

It is not an unprimeable number, because it can be changed into a prime (4928549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31314 + ... + 31470.

Almost surely, 24928544 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 4928544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117110).

4928544 is an abundant number, since it is smaller than the sum of its proper divisors (9305676).

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

4928544 is a wasteful number, since it uses less digits than its factorization.

4928544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4928544 is about 2220.0324321955. The cubic root of 4928544 is about 170.1790961452.

The spelling of 4928544 in words is "four million, nine hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 157 218 288 314 327 436 471 628 654 872 942 981 1256 1308 1413 1744 1884 1962 2512 2616 2826 3488 3768 3924 5024 5232 5652 7536 7848 10464 11304 15072 15696 17113 22608 31392 34226 45216 51339 68452 102678 136904 154017 205356 273808 308034 410712 547616 616068 821424 1232136 1642848 2464272 4928544