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55888000 = 27537499
BaseRepresentation
bin1101010100110…
…0100010000000
310220011101220221
43111030202000
5103301404000
65313512424
71246016530
oct325144200
9126141827
1055888000
1129602533
1216872714
13b76a42c
1475cb4c0
154d8e61a
hex354c880

55888000 has 128 divisors (see below), whose sum is σ = 159120000. Its totient is φ = 19123200.

The previous prime is 55887989. The next prime is 55888013. The reversal of 55888000 is 88855.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111751 + ... + 112249.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 255888000 is an apocalyptic number.

55888000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560000).

55888000 is an abundant number, since it is smaller than the sum of its proper divisors (103232000).

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

55888000 is an equidigital number, since it uses as much as digits as its factorization.

55888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 55888000 is about 7475.8277133706. The cubic root of 55888000 is about 382.3310088359.

The spelling of 55888000 in words is "fifty-five million, eight hundred eighty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 499 500 560 640 700 800 875 896 998 1000 1120 1400 1600 1750 1996 2000 2240 2495 2800 3200 3493 3500 3992 4000 4480 4990 5600 6986 7000 7984 8000 9980 11200 12475 13972 14000 15968 16000 17465 19960 22400 24950 27944 28000 31936 34930 39920 49900 55888 56000 62375 63872 69860 79840 87325 99800 111776 112000 124750 139720 159680 174650 199600 223552 249500 279440 319360 349300 399200 436625 447104 499000 558880 698600 798400 873250 998000 1117760 1397200 1596800 1746500 1996000 2235520 2794400 3493000 3992000 5588800 6986000 7984000 11177600 13972000 27944000 55888000