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55853550 = 235524597
BaseRepresentation
bin1101010100010…
…0000111101110
310220002122200000
43111010013232
5103244303200
65313045130
71245514224
oct325040756
9126078600
1055853550
1129589665
12168567a6
13b75784c
1475bcb14
154d84300
hex35441ee

55853550 has 72 divisors (see below), whose sum is σ = 155651496. Its totient is φ = 14891040.

The previous prime is 55853519. The next prime is 55853563. The reversal of 55853550 is 5535855.

55853550 is a `hidden beast` number, since 5 + 58 + 53 + 550 = 666.

55853550 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, 9852 + ... + 14448.

Almost surely, 255853550 is an apocalyptic number.

55853550 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 55853550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77825748).

55853550 is an abundant number, since it is smaller than the sum of its proper divisors (99797946).

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

55853550 is a wasteful number, since it uses less digits than its factorization.

55853550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 55853550 is about 7473.5232655020. The cubic root of 55853550 is about 382.2524349590.

The spelling of 55853550 in words is "fifty-five million, eight hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 4597 6075 9194 12150 13791 22985 27582 41373 45970 68955 82746 114925 124119 137910 206865 229850 248238 344775 372357 413730 620595 689550 744714 1034325 1117071 1241190 1861785 2068650 2234142 3102975 3723570 5585355 6205950 9308925 11170710 18617850 27926775 55853550