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55292580 = 22325726269
BaseRepresentation
bin1101001011101…
…1001010100100
310212001011011100
43102323022210
5103123330310
65253040100
71240656600
oct322731244
9125034140
1055292580
1129236152
1216626030
13b5bc405
1474b4500
154cc2ec0
hex34bb2a4

55292580 has 108 divisors (see below), whose sum is σ = 195134940. Its totient is φ = 12636288.

The previous prime is 55292569. The next prime is 55292639. The reversal of 55292580 is 8529255.

55292580 is a `hidden beast` number, since 55 + 29 + 2 + 580 = 666.

55292580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 36578304 = 4326^2 + 6048^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 5686 + ... + 11954.

It is an arithmetic number, because the mean of its divisors is an integer number (1806805).

Almost surely, 255292580 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 55292580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97567470).

55292580 is an abundant number, since it is smaller than the sum of its proper divisors (139842360).

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

55292580 is a wasteful number, since it uses less digits than its factorization.

55292580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55292580 is about 7435.8980627763. The cubic root of 55292580 is about 380.9683979823.

The spelling of 55292580 in words is "fifty-five million, two hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6269 8820 12538 18807 25076 31345 37614 43883 56421 62690 75228 87766 94035 112842 125380 131649 175532 188070 219415 225684 263298 282105 307181 376140 394947 438830 526596 564210 614362 658245 789894 877660 921543 1128420 1228724 1316490 1535905 1579788 1843086 1974735 2632980 2764629 3071810 3686172 3949470 4607715 5529258 6143620 7898940 9215430 11058516 13823145 18430860 27646290 55292580