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55441800 = 23335210267
BaseRepresentation
bin1101001101111…
…1100110001000
310212022201212000
43103133212020
5103143114200
65300151000
71242150621
oct323374610
9125281760
1055441800
1129328277
1216698460
13b6422cb
147512a48
154d02300
hex34df988

55441800 has 96 divisors (see below), whose sum is σ = 190984800. Its totient is φ = 14783040.

The previous prime is 55441787. The next prime is 55441801. The reversal of 55441800 is 814455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55441801) 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, 267 + ... + 10533.

It is an arithmetic number, because the mean of its divisors is an integer number (1989425).

Almost surely, 255441800 is an apocalyptic number.

55441800 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 55441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95492400).

55441800 is an abundant number, since it is smaller than the sum of its proper divisors (135543000).

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

55441800 is a wasteful number, since it uses less digits than its factorization.

55441800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55441800 is about 7445.9250600580. The cubic root of 55441800 is about 381.3108010170.

The spelling of 55441800 in words is "fifty-five million, four hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 10267 20534 30801 41068 51335 61602 82136 92403 102670 123204 154005 184806 205340 246408 256675 277209 308010 369612 410680 462015 513350 554418 616020 739224 770025 924030 1026700 1108836 1232040 1386045 1540050 1848060 2053400 2217672 2310075 2772090 3080100 3696120 4620150 5544180 6160200 6930225 9240300 11088360 13860450 18480600 27720900 55441800