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55075300 = 225271941101
BaseRepresentation
bin1101001000011…
…0000111100100
310211122010002221
43102012013210
5103044402200
65244242124
71236063250
oct322060744
9124563087
1055075300
11290a7985
1216540344
13b544547
147459260
154c7d91a
hex34861e4

55075300 has 144 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 17280000.

The previous prime is 55075297. The next prime is 55075309. The reversal of 55075300 is 357055.

It is a happy number.

55075300 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×550753003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

55075300 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (55075309) 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 47 ways as a sum of consecutive naturals, for example, 545250 + ... + 545350.

It is an arithmetic number, because the mean of its divisors is an integer number (1032920).

Almost surely, 255075300 is an apocalyptic number.

55075300 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 55075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

55075300 is an abundant number, since it is smaller than the sum of its proper divisors (93665180).

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

55075300 is a wasteful number, since it uses less digits than its factorization.

55075300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 55075300 is about 7421.2734756240. The cubic root of 55075300 is about 380.4687198545.

The spelling of 55075300 in words is "fifty-five million, seventy-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 41 50 70 76 82 95 100 101 133 140 164 175 190 202 205 266 287 350 380 404 410 475 505 532 574 665 700 707 779 820 950 1010 1025 1148 1330 1414 1435 1558 1900 1919 2020 2050 2525 2660 2828 2870 3116 3325 3535 3838 3895 4100 4141 5050 5453 5740 6650 7070 7175 7676 7790 8282 9595 10100 10906 13300 13433 14140 14350 15580 16564 17675 19190 19475 20705 21812 26866 27265 28700 28987 35350 38380 38950 41410 47975 53732 54530 57974 67165 70700 77900 78679 82820 95950 103525 109060 115948 134330 136325 144935 157358 191900 207050 268660 272650 289870 314716 335825 393395 414100 545300 550753 579740 671650 724675 786790 1101506 1343300 1449350 1573580 1966975 2203012 2753765 2898700 3933950 5507530 7867900 11015060 13768825 27537650 55075300