Search a number
-
+
55525500 = 223553457
BaseRepresentation
bin1101001111010…
…0000001111100
310212110222200000
43103310001330
5103203304000
65302034300
71242646632
oct323640174
9125428600
1055525500
1129385148
1216718990
13b671434
147535352
154d1c000
hex34f407c

55525500 has 144 divisors (see below), whose sum is σ = 182049504. Its totient is φ = 14774400.

The previous prime is 55525499. The next prime is 55525507. The reversal of 55525500 is 552555.

It is a happy number.

55525500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55525507) 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 47 ways as a sum of consecutive naturals, for example, 121272 + ... + 121728.

Almost surely, 255525500 is an apocalyptic number.

55525500 is a gapful number since it is divisible by the number (50) 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 55525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91024752).

55525500 is an abundant number, since it is smaller than the sum of its proper divisors (126524004).

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

55525500 is a wasteful number, since it uses less digits than its factorization.

55525500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 55525500 is about 7451.5434642764. The cubic root of 55525500 is about 381.5025917269.

The spelling of 55525500 in words is "fifty-five million, five hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 457 486 500 540 675 750 810 900 914 972 1125 1215 1350 1371 1500 1620 1828 2025 2250 2285 2430 2700 2742 3375 4050 4113 4500 4570 4860 5484 6075 6750 6855 8100 8226 9140 10125 11425 12150 12339 13500 13710 16452 20250 20565 22850 24300 24678 27420 30375 34275 37017 40500 41130 45700 49356 57125 60750 61695 68550 74034 82260 102825 111051 114250 121500 123390 137100 148068 171375 185085 205650 222102 228500 246780 308475 342750 370170 411300 444204 514125 555255 616950 685500 740340 925425 1028250 1110510 1233900 1542375 1850850 2056500 2221020 2776275 3084750 3701700 4627125 5552550 6169500 9254250 11105100 13881375 18508500 27762750 55525500