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55045760 = 2757111117
BaseRepresentation
bin1101000111111…
…0111010000000
310211120121120212
43101332322000
5103042431020
65243453252
71235611160
oct321767200
9124517525
1055045760
1129087770
1216527228
13b533c73
14744c5a0
154c74cc5
hex347ee80

55045760 has 128 divisors (see below), whose sum is σ = 164211840. Its totient is φ = 17141760.

The previous prime is 55045759. The next prime is 55045769. The reversal of 55045760 is 6754055.

It is a happy number.

55045760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (55045769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48722 + ... + 49838.

It is an arithmetic number, because the mean of its divisors is an integer number (1282905).

Almost surely, 255045760 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 55045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105920).

55045760 is an abundant number, since it is smaller than the sum of its proper divisors (109166080).

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

55045760 is a wasteful number, since it uses less digits than its factorization.

55045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 55045760 is about 7419.2829842243. The cubic root of 55045760 is about 380.4006853880.

The spelling of 55045760 in words is "fifty-five million, forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1117 1120 1232 1408 1540 1760 2234 2240 2464 3080 3520 4468 4480 4928 5585 6160 7040 7819 8936 9856 11170 12287 12320 15638 17872 22340 24574 24640 31276 35744 39095 44680 49148 49280 61435 62552 71488 78190 86009 89360 98296 122870 125104 142976 156380 172018 178720 196592 245740 250208 312760 344036 357440 393184 430045 491480 500416 625520 688072 714880 786368 860090 982960 1000832 1251040 1376144 1572736 1720180 1965920 2502080 2752288 3440360 3931840 5004160 5504576 6880720 7863680 11009152 13761440 27522880 55045760