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55148526 = 2341922341
BaseRepresentation
bin1101001001011…
…1111111101110
310211202211120000
43102113333232
5103104223101
65250005130
71236516606
oct322277756
9124684500
1055148526
11291479a4
12165767a6
13b56b984
147477c06
154c95486
hex3497fee

55148526 has 120 divisors (see below), whose sum is σ = 139409424. Its totient is φ = 16251840.

The previous prime is 55148521. The next prime is 55148551. The reversal of 55148526 is 62584155.

55148526 is a `hidden beast` number, since 551 + 4 + 85 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55148521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1345066 + ... + 1345106.

Almost surely, 255148526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55148526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69704712).

55148526 is an abundant number, since it is smaller than the sum of its proper divisors (84260898).

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

55148526 is a wasteful number, since it uses less digits than its factorization.

55148526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55148526 is about 7426.2053567081. The cubic root of 55148526 is about 380.6372640374.

The spelling of 55148526 in words is "fifty-five million, one hundred forty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 23 27 38 41 46 54 57 69 81 82 114 123 138 162 171 207 246 342 361 369 414 437 513 621 722 738 779 874 943 1026 1083 1107 1242 1311 1539 1558 1863 1886 2166 2214 2337 2622 2829 3078 3249 3321 3726 3933 4674 5658 6498 6642 7011 7866 8303 8487 9747 11799 14022 14801 16606 16974 17917 19494 21033 23598 24909 25461 29241 29602 35397 35834 42066 44403 49818 50922 53751 58482 63099 70794 74727 76383 88806 107502 126198 133209 149454 152766 161253 224181 266418 322506 340423 399627 448362 483759 672543 680846 799254 967518 1021269 1198881 1345086 1451277 2042538 2397762 2902554 3063807 6127614 9191421 18382842 27574263 55148526