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55432520 = 23511213881
BaseRepresentation
bin1101001101110…
…1010101001000
310212022021010022
43103131111020
5103142320040
65300040012
71242111563
oct323352510
9125267108
1055432520
1129321300
1216693008
13b63b010
14750d4da
154cee6b5
hex34dd548

55432520 has 96 divisors (see below), whose sum is σ = 147805560. Its totient is φ = 18585600.

The previous prime is 55432513. The next prime is 55432523. The reversal of 55432520 is 2523455.

55432520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24940036 + 30492484 = 4994^2 + 5522^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 55432520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55432523) 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, 62480 + ... + 63360.

Almost surely, 255432520 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 55432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73902780).

55432520 is an abundant number, since it is smaller than the sum of its proper divisors (92373040).

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

55432520 is a wasteful number, since it uses less digits than its factorization.

55432520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 55432520 is about 7445.3018743366. The cubic root of 55432520 is about 381.2895248819.

Adding to 55432520 its reverse (2523455), we get a palindrome (57955975).

The spelling of 55432520 in words is "fifty-five million, four hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 881 968 1144 1210 1430 1573 1762 2420 2860 3146 3524 4405 4840 5720 6292 7048 7865 8810 9691 11453 12584 15730 17620 19382 22906 31460 35240 38764 45812 48455 57265 62920 77528 91624 96910 106601 114530 125983 193820 213202 229060 251966 387640 426404 458120 503932 533005 629915 852808 1007864 1066010 1259830 1385813 2132020 2519660 2771626 4264040 5039320 5543252 6929065 11086504 13858130 27716260 55432520