Search a number
-
+
55505550 = 23523773137
BaseRepresentation
bin1101001110111…
…1001010001110
310212102222022010
43103233022032
5103202134200
65301402050
71242534522
oct323571216
9125388263
1055505550
1129371161
1216709326
13b665329
14752bd82
154d16150
hex34ef28e

55505550 has 96 divisors (see below), whose sum is σ = 144356832. Its totient is φ = 14100480.

The previous prime is 55505539. The next prime is 55505557. The reversal of 55505550 is 5550555.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55505557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405082 + ... + 405218.

It is an arithmetic number, because the mean of its divisors is an integer number (1503717).

Almost surely, 255505550 is an apocalyptic number.

55505550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72178416).

55505550 is an abundant number, since it is smaller than the sum of its proper divisors (88851282).

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

55505550 is a wasteful number, since it uses less digits than its factorization.

55505550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 30.

The square root of 55505550 is about 7450.2046951745. The cubic root of 55505550 is about 381.4568956749.

The spelling of 55505550 in words is "fifty-five million, five hundred five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 73 74 75 111 137 146 150 185 219 222 274 365 370 411 438 555 685 730 822 925 1095 1110 1370 1825 1850 2055 2190 2701 2775 3425 3650 4110 5069 5402 5475 5550 6850 8103 10001 10138 10275 10950 13505 15207 16206 20002 20550 25345 27010 30003 30414 40515 50005 50690 60006 67525 76035 81030 100010 126725 135050 150015 152070 202575 250025 253450 300030 370037 380175 405150 500050 740074 750075 760350 1110111 1500150 1850185 2220222 3700370 5550555 9250925 11101110 18501850 27752775 55505550