Search a number
-
+
55342600 = 23522353227
BaseRepresentation
bin1101001100011…
…1011000001000
310212010200202221
43103013120020
5103131430400
65254103424
71241255455
oct323073010
9125120687
1055342600
112926a795
121664ab74
13b609101
1474c882c
154cd2c1a
hex34c7608

55342600 has 96 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 20683520.

The previous prime is 55342597. The next prime is 55342607. The reversal of 55342600 is 624355.

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

It is not an unprimeable number, because it can be changed into a prime (55342607) 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, 243687 + ... + 243913.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 255342600 is an apocalyptic number.

55342600 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 55342600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

55342600 is an abundant number, since it is smaller than the sum of its proper divisors (82059320).

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

55342600 is a wasteful number, since it uses less digits than its factorization.

55342600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 55342600 is about 7439.2607159583. The cubic root of 55342600 is about 381.0832433850.

Adding to 55342600 its reverse (624355), we get a palindrome (55966955).

The spelling of 55342600 in words is "fifty-five million, three hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 53 92 100 106 115 184 200 212 227 230 265 424 454 460 530 575 908 920 1060 1135 1150 1219 1325 1816 2120 2270 2300 2438 2650 4540 4600 4876 5221 5300 5675 6095 9080 9752 10442 10600 11350 12031 12190 20884 22700 24062 24380 26105 30475 41768 45400 48124 48760 52210 60155 60950 96248 104420 120310 121900 130525 208840 240620 243800 261050 276713 300775 481240 522100 553426 601550 1044200 1106852 1203100 1383565 2213704 2406200 2767130 5534260 6917825 11068520 13835650 27671300 55342600