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55727280 = 24325711057
BaseRepresentation
bin1101010010010…
…1010010110000
310212212020110100
43110211102300
5103231233110
65310232400
71244450130
oct324452260
9125766410
1055727280
1129502804
12167b5700
13b71222b
147588ac0
154d5bbc0
hex35254b0

55727280 has 120 divisors (see below), whose sum is σ = 213905952. Its totient is φ = 12736512.

The previous prime is 55727267. The next prime is 55727281. The reversal of 55727280 is 8272755.

55727280 is a `hidden beast` number, since 5 + 572 + 7 + 2 + 80 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (55727281) by changing a digit.

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, 489 + ... + 10568.

Almost surely, 255727280 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 55727280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106952976).

55727280 is an abundant number, since it is smaller than the sum of its proper divisors (158178672).

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

55727280 is a wasteful number, since it uses less digits than its factorization.

55727280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55727280 is about 7465.0706627600. The cubic root of 55727280 is about 381.9641606317.

The spelling of 55727280 in words is "fifty-five million, seven hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 11057 22114 33171 44228 55285 66342 77399 88456 99513 110570 132684 154798 165855 176912 199026 221140 232197 265368 309596 331710 386995 398052 442280 464394 497565 530736 619192 663420 696591 773990 796104 884560 928788 995130 1160985 1238384 1326840 1393182 1547980 1592208 1857576 1990260 2321970 2653680 2786364 3095960 3482955 3715152 3980520 4643940 5572728 6191920 6965910 7961040 9287880 11145456 13931820 18575760 27863640 55727280