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55854720 = 273259697
BaseRepresentation
bin1101010100010…
…0011010000000
310220002201021100
43111010122000
5103244322340
65313054400
71245520515
oct325043200
9126081240
1055854720
112958a529
1216857400
13b75823c
1475bd30c
154d84830
hex3544680

55854720 has 96 divisors (see below), whose sum is σ = 192893220. Its totient is φ = 14893056.

The previous prime is 55854713. The next prime is 55854731. The reversal of 55854720 is 2745855.

It is a happy number.

55854720 is a `hidden beast` number, since 5 + 585 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 4359744 = 7176^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912 + ... + 10608.

Almost surely, 255854720 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 55854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96446610).

55854720 is an abundant number, since it is smaller than the sum of its proper divisors (137038500).

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

55854720 is a wasteful number, since it uses less digits than its factorization.

55854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55854720 is about 7473.6015414257. The cubic root of 55854720 is about 382.2551040357.

It can be divided in two parts, 558 and 54720, that added together give a triangular number (55278 = T332).

The spelling of 55854720 in words is "fifty-five million, eight hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9697 19394 29091 38788 48485 58182 77576 87273 96970 116364 145455 155152 174546 193940 232728 290910 310304 349092 387880 436365 465456 581820 620608 698184 775760 872730 930912 1163640 1241216 1396368 1551520 1745460 1861824 2327280 2792736 3103040 3490920 3723648 4654560 5585472 6206080 6981840 9309120 11170944 13963680 18618240 27927360 55854720