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55461150 = 23252373331
BaseRepresentation
bin1101001110010…
…0010100011110
310212100201101200
43103210110132
5103144224100
65300420330
71242261213
oct323442436
9125321350
1055461150
1129340868
12166a76a6
13b64b064
147519b0a
154d07e00
hex34e451e

55461150 has 72 divisors (see below), whose sum is σ = 153078744. Its totient is φ = 14385600.

The previous prime is 55461143. The next prime is 55461163. The reversal of 55461150 is 5116455.

It is a happy number.

55461150 is a `hidden beast` number, since 5 + 546 + 115 + 0 = 666.

55461150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 14985 + ... + 18315.

Almost surely, 255461150 is an apocalyptic number.

55461150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55461150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76539372).

55461150 is an abundant number, since it is smaller than the sum of its proper divisors (97617594).

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

55461150 is a wasteful number, since it uses less digits than its factorization.

55461150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55461150 is about 7447.2243151392. The cubic root of 55461150 is about 381.3551568748.

It can be divided in two parts, 55461 and 150, that added together give a triangular number (55611 = T333).

The spelling of 55461150 in words is "fifty-five million, four hundred sixty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 3331 5550 6662 8325 9993 16650 16655 19986 29979 33310 49965 59958 83275 99930 123247 149895 166550 246494 249825 299790 369741 499650 616235 739482 749475 1109223 1232470 1498950 1848705 2218446 3081175 3697410 5546115 6162350 9243525 11092230 18487050 27730575 55461150