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55083280 = 24571931167
BaseRepresentation
bin1101001000100…
…0000100010000
310211122112001111
43102020010100
5103100131110
65244343104
71236125440
oct322100420
9124575044
1055083280
112910297a
1216544a94
13b548075
14745c120
154c80e8a
hex3488110

55083280 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 17210880.

The previous prime is 55083277. The next prime is 55083283. The reversal of 55083280 is 8238055.

55083280 = T271 + T272 + ... + T704.

It is an interprime number because it is at equal distance from previous prime (55083277) and next prime (55083283).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (55083283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329757 + ... + 329923.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 255083280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

55083280 is an abundant number, since it is smaller than the sum of its proper divisors (104906480).

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

55083280 is a wasteful number, since it uses less digits than its factorization.

55083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 55083280 is about 7421.8110997249. The cubic root of 55083280 is about 380.4870946599.

The spelling of 55083280 in words is "fifty-five million, eighty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 167 190 217 248 266 280 304 310 334 380 434 496 532 560 589 620 665 668 760 835 868 1064 1085 1169 1178 1240 1330 1336 1520 1670 1736 2128 2170 2338 2356 2480 2660 2672 2945 3173 3340 3472 4123 4340 4676 4712 5177 5320 5845 5890 6346 6680 8246 8680 9352 9424 10354 10640 11690 11780 12692 13360 15865 16492 17360 18704 20615 20708 22211 23380 23560 25384 25885 31730 32984 36239 41230 41416 44422 46760 47120 50768 51770 63460 65968 72478 82460 82832 88844 93520 98363 103540 111055 126920 144956 164920 177688 181195 196726 207080 222110 253840 289912 329840 355376 362390 393452 414160 444220 491815 579824 688541 724780 786904 888440 983630 1377082 1449560 1573808 1776880 1967260 2754164 2899120 3442705 3934520 5508328 6885410 7869040 11016656 13770820 27541640 55083280