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55090800 = 2433525101
BaseRepresentation
bin1101001000100…
…1111001110000
310211122220101000
43102021321300
5103100401200
65244442000
71236156402
oct322117160
9124586330
1055090800
1129108596
1216549300
13b54b60b
147460b72
154c83300
hex3489e70

55090800 has 120 divisors (see below), whose sum is σ = 196120880. Its totient is φ = 14688000.

The previous prime is 55090793. The next prime is 55090801. The reversal of 55090800 is 809055.

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

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 (55090801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250 + ... + 13350.

Almost surely, 255090800 is an apocalyptic number.

55090800 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 55090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98060440).

55090800 is an abundant number, since it is smaller than the sum of its proper divisors (141030080).

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

55090800 is a wasteful number, since it uses less digits than its factorization.

55090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 55090800 is about 7422.3176973234. The cubic root of 55090800 is about 380.5044086419.

Adding to 55090800 its reverse (809055), we get a palindrome (55899855).

The spelling of 55090800 in words is "fifty-five million, ninety thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5101 5400 10202 10800 15303 20404 25505 30606 40808 45909 51010 61212 76515 81616 91818 102020 122424 127525 137727 153030 183636 204040 229545 244848 255050 275454 306060 367272 382575 408080 459090 510100 550908 612120 688635 734544 765150 918180 1020200 1101816 1147725 1224240 1377270 1530300 1836360 2040400 2203632 2295450 2754540 3060600 3443175 3672720 4590900 5509080 6121200 6886350 9181800 11018160 13772700 18363600 27545400 55090800