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55560000 = 26354463
BaseRepresentation
bin1101001111110…
…0011101000000
310212112201222210
43103330131000
5103210410000
65302502120
71243152336
oct323743500
9125481883
1055560000
11293a9061
1216734940
13b684052
147543b56
154d27350
hex34fc740

55560000 has 140 divisors (see below), whose sum is σ = 184091072. Its totient is φ = 14784000.

The previous prime is 55559993. The next prime is 55560007. The reversal of 55560000 is 6555.

55560000 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 (55559993) and next prime (55560007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55560007) 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 19 ways as a sum of consecutive naturals, for example, 119769 + ... + 120231.

Almost surely, 255560000 is an apocalyptic number.

55560000 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 55560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92045536).

55560000 is an abundant number, since it is smaller than the sum of its proper divisors (128531072).

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

55560000 is an equidigital number, since it uses as much as digits as its factorization.

55560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55560000 is about 7453.8580614337. The cubic root of 55560000 is about 381.5815891508.

Adding to 55560000 its reverse (6555), we get a palindrome (55566555).

The spelling of 55560000 in words is "fifty-five million, five hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 463 480 500 600 625 750 800 926 960 1000 1200 1250 1389 1500 1600 1852 1875 2000 2315 2400 2500 2778 3000 3704 3750 4000 4630 4800 5000 5556 6000 6945 7408 7500 8000 9260 10000 11112 11575 12000 13890 14816 15000 18520 20000 22224 23150 24000 27780 29632 30000 34725 37040 40000 44448 46300 55560 57875 60000 69450 74080 88896 92600 111120 115750 120000 138900 148160 173625 185200 222240 231500 277800 289375 347250 370400 444480 463000 555600 578750 694500 740800 868125 926000 1111200 1157500 1389000 1736250 1852000 2222400 2315000 2778000 3472500 3704000 4630000 5556000 6945000 9260000 11112000 13890000 18520000 27780000 55560000