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55344432 = 24311213733
BaseRepresentation
bin1101001100011…
…1110100110000
310212010210021210
43103013310300
5103132010212
65254120120
71241264013
oct323076460
9125123253
1055344432
1129271100
1216650040
13b609bb0
1474c937a
154cd353c
hex34c7d30

55344432 has 120 divisors (see below), whose sum is σ = 169471792. Its totient is φ = 15459840.

The previous prime is 55344409. The next prime is 55344437. The reversal of 55344432 is 23444355.

55344432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55344432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55344437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75138 + ... + 75870.

Almost surely, 255344432 is an apocalyptic number.

55344432 is a gapful number since it is divisible by the number (52) 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 55344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84735896).

55344432 is an abundant number, since it is smaller than the sum of its proper divisors (114127360).

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

55344432 is a wasteful number, since it uses less digits than its factorization.

55344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 55344432 is about 7439.3838454539. The cubic root of 55344432 is about 381.0874483242.

Adding to 55344432 its reverse (23444355), we get a palindrome (78788787).

The spelling of 55344432 in words is "fifty-five million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 733 858 968 1144 1452 1466 1573 1716 1936 2199 2288 2904 2932 3146 3432 4398 4719 5808 5864 6292 6864 8063 8796 9438 9529 11728 12584 16126 17592 18876 19058 24189 25168 28587 32252 35184 37752 38116 48378 57174 64504 75504 76232 88693 96756 104819 114348 129008 152464 177386 193512 209638 228696 266079 314457 354772 387024 419276 457392 532158 628914 709544 838552 1064316 1153009 1257828 1419088 1677104 2128632 2306018 2515656 3459027 4257264 4612036 5031312 6918054 9224072 13836108 18448144 27672216 55344432