Search a number
-
+
5324256 = 2532719139
BaseRepresentation
bin10100010011110111100000
3101000111111200
4110103313200
52330334011
6310041200
763153420
oct24236740
911014450
105324256
113007213
121949200
131145562
149c8480
15702856
hex513de0

5324256 has 144 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1430784.

The previous prime is 5324251. The next prime is 5324257. The reversal of 5324256 is 6524235.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5324251) 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 23 ways as a sum of consecutive naturals, for example, 38235 + ... + 38373.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 25324256 is an apocalyptic number.

5324256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

5324256 is an abundant number, since it is smaller than the sum of its proper divisors (13021344).

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

5324256 is a wasteful number, since it uses less digits than its factorization.

5324256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5324256 is about 2307.4349394945. The cubic root of 5324256 is about 174.6169143953.

The spelling of 5324256 in words is "five million, three hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 139 144 152 168 171 224 228 252 266 278 288 304 336 342 399 417 456 504 532 556 608 672 684 798 834 912 973 1008 1064 1112 1197 1251 1368 1596 1668 1824 1946 2016 2128 2224 2394 2502 2641 2736 2919 3192 3336 3892 4256 4448 4788 5004 5282 5472 5838 6384 6672 7784 7923 8757 9576 10008 10564 11676 12768 13344 15568 15846 17514 18487 19152 20016 21128 23352 23769 31136 31692 35028 36974 38304 40032 42256 46704 47538 55461 63384 70056 73948 84512 93408 95076 110922 126768 140112 147896 166383 190152 221844 253536 280224 295792 332766 380304 443688 591584 665532 760608 887376 1331064 1774752 2662128 5324256