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55750560 = 2535196113
BaseRepresentation
bin1101010010101…
…0111110100000
310212220102101120
43110222332200
5103233004220
65310532240
71244605035
oct324527640
9125812346
1055750560
1129519248
1216807080
13b71c9c8
14759338c
154d63a40
hex352afa0

55750560 has 96 divisors (see below), whose sum is σ = 184887360. Its totient is φ = 14082048.

The previous prime is 55750553. The next prime is 55750567. The reversal of 55750560 is 6505755.

55750560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55750553) and next prime (55750567).

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

It is not an unprimeable number, because it can be changed into a prime (55750567) 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, 6064 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (1925910).

Almost surely, 255750560 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 55750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92443680).

55750560 is an abundant number, since it is smaller than the sum of its proper divisors (129136800).

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

55750560 is a wasteful number, since it uses less digits than its factorization.

55750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 55750560 is about 7466.6297618136. The cubic root of 55750560 is about 382.0173415736.

The spelling of 55750560 in words is "fifty-five million, seven hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 6113 9120 12226 18339 24452 30565 36678 48904 61130 73356 91695 97808 116147 122260 146712 183390 195616 232294 244520 293424 348441 366780 464588 489040 580735 586848 696882 733560 929176 978080 1161470 1393764 1467120 1742205 1858352 2322940 2787528 2934240 3484410 3716704 4645880 5575056 6968820 9291760 11150112 13937640 18583520 27875280 55750560