[go: up one dir, main page]

Search a number
-
+
55102800 = 2435247977
BaseRepresentation
bin1101001000110…
…0110101010000
310211200111211110
43102030311100
5103101242200
65245013320
71236236364
oct322146520
9124614743
1055102800
1129116605
1216554240
13b553c0c
1474652a4
154c86b50
hex348cd50

55102800 has 120 divisors (see below), whose sum is σ = 180452736. Its totient is φ = 14366720.

The previous prime is 55102781. The next prime is 55102843. The reversal of 55102800 is 820155.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 55912 + ... + 56888.

Almost surely, 255102800 is an apocalyptic number.

55102800 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 55102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90226368).

55102800 is an abundant number, since it is smaller than the sum of its proper divisors (125349936).

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

55102800 is a wasteful number, since it uses less digits than its factorization.

55102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 55102800 is about 7423.1260261429. The cubic root of 55102800 is about 380.5320340737.

Adding to 55102800 its reverse (820155), we get a palindrome (55922955).

The spelling of 55102800 in words is "fifty-five million, one hundred two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 977 1128 1175 1200 1410 1880 1954 2256 2350 2820 2931 3525 3760 3908 4700 4885 5640 5862 7050 7816 9400 9770 11280 11724 14100 14655 15632 18800 19540 23448 24425 28200 29310 39080 45919 46896 48850 56400 58620 73275 78160 91838 97700 117240 137757 146550 183676 195400 229595 234480 275514 293100 367352 390800 459190 551028 586200 688785 734704 918380 1102056 1147975 1172400 1377570 1836760 2204112 2295950 2755140 3443925 3673520 4591900 5510280 6887850 9183800 11020560 13775700 18367600 27551400 55102800