Search a number
-
+
544241824 = 25722315091
BaseRepresentation
bin100000011100000…
…111100010100000
31101221002100102121
4200130013202200
52103311214244
6130000554024
716325656600
oct4034074240
91357070377
10544241824
1125a234a35
12132322914
13889a55a9
14523d0c00
1532ba6c84
hex207078a0

544241824 has 72 divisors (see below), whose sum is σ = 1300688928. Its totient is φ = 223090560.

The previous prime is 544241821. The next prime is 544241827. The reversal of 544241824 is 428142445.

It is an interprime number because it is at equal distance from previous prime (544241821) and next prime (544241827).

It is a self number, because there is not a number n which added to its sum of digits gives 544241824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544241821) 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, 28519 + ... + 43609.

It is an arithmetic number, because the mean of its divisors is an integer number (18065124).

Almost surely, 2544241824 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 544241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650344464).

544241824 is an abundant number, since it is smaller than the sum of its proper divisors (756447104).

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

544241824 is a wasteful number, since it uses less digits than its factorization.

544241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15138 (or 15123 counting only the distinct ones).

The product of its digits is 40960, while the sum is 34.

The square root of 544241824 is about 23328.9910626242. The cubic root of 544241824 is about 816.4519635137.

The spelling of 544241824 in words is "five hundred forty-four million, two hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 15091 18032 30182 36064 60364 105637 120728 211274 241456 347093 422548 482912 694186 739459 845096 1388372 1478918 1690192 2429651 2776744 2957836 3380384 4859302 5553488 5915672 9718604 11106976 11831344 17007557 19437208 23662688 34015114 38874416 68030228 77748832 136060456 272120912 544241824