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55137528 = 233217107421
BaseRepresentation
bin1101001001010…
…1010011111000
310211202021110200
43102111103320
5103103400103
65245442200
71236442545
oct322252370
9124667420
1055137528
112913a706
1216570360
13b566974
147473bcc
154c920a3
hex34954f8

55137528 has 96 divisors (see below), whose sum is σ = 159971760. Its totient is φ = 17095680.

The previous prime is 55137517. The next prime is 55137553. The reversal of 55137528 is 82573155.

55137528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 55137492 and 55137501.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 130758 + ... + 131178.

Almost surely, 255137528 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 55137528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79985880).

55137528 is an abundant number, since it is smaller than the sum of its proper divisors (104834232).

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

55137528 is a wasteful number, since it uses less digits than its factorization.

55137528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

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

The square root of 55137528 is about 7425.4648339346. The cubic root of 55137528 is about 380.6119594811.

It can be divided in two parts, 5513 and 7528, that added together give a triangular number (13041 = T161).

The spelling of 55137528 in words is "fifty-five million, one hundred thirty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 136 153 204 214 306 321 408 421 428 612 642 842 856 963 1224 1263 1284 1684 1819 1926 2526 2568 3368 3638 3789 3852 5052 5457 7157 7276 7578 7704 10104 10914 14314 14552 15156 16371 21471 21828 28628 30312 32742 42942 43656 45047 57256 64413 65484 85884 90094 128826 130968 135141 171768 180188 257652 270282 360376 405423 515304 540564 765799 810846 1081128 1531598 1621692 2297397 3063196 3243384 4594794 6126392 6892191 9189588 13784382 18379176 27568764 55137528