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55887000 = 23353131433
BaseRepresentation
bin1101010100110…
…0010010011000
310220011100112220
43111030102120
5103301341000
65313504040
71246013601
oct325142230
9126140486
1055887000
1129601804
1216872020
13b769b40
1475cada8
154d8e1a0
hex354c498

55887000 has 128 divisors (see below), whose sum is σ = 187911360. Its totient is φ = 13747200.

The previous prime is 55886993. The next prime is 55887001. The reversal of 55887000 is 78855.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55887001) 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 31 ways as a sum of consecutive naturals, for example, 38284 + ... + 39716.

Almost surely, 255887000 is an apocalyptic number.

55887000 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 55887000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93955680).

55887000 is an abundant number, since it is smaller than the sum of its proper divisors (132024360).

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

55887000 is a wasteful number, since it uses less digits than its factorization.

55887000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 55887000 is about 7475.7608308452. The cubic root of 55887000 is about 382.3287284818.

The spelling of 55887000 in words is "fifty-five million, eight hundred eighty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1433 1500 1560 1625 1950 2600 2866 3000 3250 3900 4299 4875 5732 6500 7165 7800 8598 9750 11464 13000 14330 17196 18629 19500 21495 28660 34392 35825 37258 39000 42990 55887 57320 71650 74516 85980 93145 107475 111774 143300 149032 171960 179125 186290 214950 223548 279435 286600 358250 372580 429900 447096 465725 537375 558870 716500 745160 859800 931450 1074750 1117740 1397175 1433000 1862900 2149500 2235480 2328625 2794350 3725800 4299000 4657250 5588700 6985875 9314500 11177400 13971750 18629000 27943500 55887000