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55061550 = 23252373307
BaseRepresentation
bin1101001000001…
…0110000101110
310211121102020200
43102002300232
5103043432200
65244054330
71236005205
oct322026056
9124542220
1055061550
1129098615
12165343a6
13b53b1cb
14745423c
154c79800
hex3482c2e

55061550 has 72 divisors (see below), whose sum is σ = 151976136. Its totient is φ = 14281920.

The previous prime is 55061507. The next prime is 55061551. The reversal of 55061550 is 5516055.

55061550 is a `hidden beast` number, since 5 + 50 + 61 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55061551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14997 + ... + 18303.

Almost surely, 255061550 is an apocalyptic number.

55061550 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 55061550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75988068).

55061550 is an abundant number, since it is smaller than the sum of its proper divisors (96914586).

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

55061550 is a wasteful number, since it uses less digits than its factorization.

55061550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 55061550 is about 7420.3470269254. The cubic root of 55061550 is about 380.4370548412.

It can be divided in two parts, 55061 and 550, that added together give a triangular number (55611 = T333).

The spelling of 55061550 in words is "fifty-five million, sixty-one thousand, five 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 3307 3330 5550 6614 8325 9921 16535 16650 19842 29763 33070 49605 59526 82675 99210 122359 148815 165350 244718 248025 297630 367077 496050 611795 734154 744075 1101231 1223590 1488150 1835385 2202462 3058975 3670770 5506155 6117950 9176925 11012310 18353850 27530775 55061550