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55193184 = 2533127503
BaseRepresentation
bin1101001010001…
…0111001100000
310211212002211000
43102202321200
5103112140214
65250552000
71240064034
oct322427140
9124762730
1055193184
1129178502
1216598600
13b5860b7
14748a1c4
154ca3809
hex34a2e60

55193184 has 96 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 18216576.

The previous prime is 55193141. The next prime is 55193189. The reversal of 55193184 is 48139155.

55193184 is a `hidden beast` number, since 551 + 93 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55193189) 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 15 ways as a sum of consecutive naturals, for example, 109477 + ... + 109979.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 255193184 is an apocalyptic number.

55193184 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55193184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

55193184 is an abundant number, since it is smaller than the sum of its proper divisors (107377056).

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

55193184 is a wasteful number, since it uses less digits than its factorization.

55193184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 55193184 is about 7429.2115328613. The cubic root of 55193184 is about 380.7399800657.

The spelling of 55193184 in words is "fifty-five million, one hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 503 508 762 864 1006 1016 1143 1509 1524 2012 2032 2286 3018 3048 3429 4024 4064 4527 4572 6036 6096 6858 8048 9054 9144 12072 12192 13581 13716 16096 18108 18288 24144 27162 27432 36216 36576 48288 54324 54864 63881 72432 108648 109728 127762 144864 191643 217296 255524 383286 434592 511048 574929 766572 1022096 1149858 1533144 1724787 2044192 2299716 3066288 3449574 4599432 6132576 6899148 9198864 13798296 18397728 27596592 55193184