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55252782 = 23213389607
BaseRepresentation
bin1101001011000…
…1011100101110
310211222010120100
43102301130232
5103121042112
65252131530
71240432554
oct322613456
9124863510
1055252782
1129209262
1216606ba6
13b5a7270
1474a3bd4
154cb62dc
hex34b172e

55252782 has 48 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 16929216.

The previous prime is 55252753. The next prime is 55252793. The reversal of 55252782 is 28725255.

55252782 is a `hidden beast` number, since 5 + 52 + 527 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90723 + ... + 91329.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 255252782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55252782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733760).

55252782 is an abundant number, since it is smaller than the sum of its proper divisors (74214738).

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

55252782 is a wasteful number, since it uses less digits than its factorization.

55252782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1014 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 55252782 is about 7433.2215088749. The cubic root of 55252782 is about 380.8769726987.

The spelling of 55252782 in words is "fifty-five million, two hundred fifty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 389 607 778 1167 1214 1821 2334 3501 3642 5057 5463 7002 7891 10114 10926 15171 15782 23673 30342 45513 47346 71019 91026 142038 236123 472246 708369 1416738 2125107 3069599 4250214 6139198 9208797 18417594 27626391 55252782