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55573128 = 233613733
BaseRepresentation
bin1101001111111…
…1101010001000
310212120102000000
43103333222020
5103211320003
65303043000
71243235532
oct323775210
9125512000
1055573128
1129407a06
1216740460
13b68a010
147548852
154d2b1a3
hex34ffa88

55573128 has 112 divisors (see below), whose sum is σ = 168475020. Its totient is φ = 17076096.

The previous prime is 55573127. The next prime is 55573139. The reversal of 55573128 is 82137555.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 842724 = 7398^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55573092 and 55573101.

It is not an unprimeable number, because it can be changed into a prime (55573121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75450 + ... + 76182.

Almost surely, 255573128 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 55573128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84237510).

55573128 is an abundant number, since it is smaller than the sum of its proper divisors (112901892).

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

55573128 is a wasteful number, since it uses less digits than its factorization.

55573128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 55573128 is about 7454.7386272089. The cubic root of 55573128 is about 381.6116407983.

The spelling of 55573128 in words is "fifty-five million, five hundred seventy-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 733 936 972 1053 1404 1458 1466 1944 2106 2199 2808 2916 2932 3159 4212 4398 5832 5864 6318 6597 8424 8796 9477 9529 12636 13194 17592 18954 19058 19791 25272 26388 28587 37908 38116 39582 52776 57174 59373 75816 76232 79164 85761 114348 118746 158328 171522 178119 228696 237492 257283 343044 356238 474984 514566 534357 686088 712476 771849 1029132 1068714 1424952 1543698 2058264 2137428 2315547 3087396 4274856 4631094 6174792 6946641 9262188 13893282 18524376 27786564 55573128