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55193148 = 22322921823
BaseRepresentation
bin1101001010001…
…0111000111100
310211212002202200
43102202320330
5103112140043
65250551500
71240063653
oct322427074
9124762680
1055193148
112917847a
1216598590
13b58608a
14748a19a
154ca37d3
hex34a2e3c

55193148 has 54 divisors (see below), whose sum is σ = 144572064. Its totient is φ = 17753568.

The previous prime is 55193141. The next prime is 55193189. The reversal of 55193148 is 84139155.

55193148 is a `hidden beast` number, since 551 + 93 + 14 + 8 = 666.

55193148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551931482 = 6092567172299808, which contains 22 as substring.

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 (55193141) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 29365 + ... + 31187.

Almost surely, 255193148 is an apocalyptic number.

55193148 is a gapful number since it is divisible by the number (58) 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 55193148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286032).

55193148 is an abundant number, since it is smaller than the sum of its proper divisors (89378916).

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

55193148 is a wasteful number, since it uses less digits than its factorization.

55193148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1857 counting only the distinct ones).

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

The square root of 55193148 is about 7429.2091099928. The cubic root of 55193148 is about 380.7398972859.

The spelling of 55193148 in words is "fifty-five million, one hundred ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 1823 2523 3364 3646 5046 5469 7292 7569 10092 10938 15138 16407 21876 30276 32814 52867 65628 105734 158601 211468 317202 475803 634404 951606 1533143 1903212 3066286 4599429 6132572 9198858 13798287 18397716 27596574 55193148