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55241424 = 2432727829
BaseRepresentation
bin1101001010111…
…0101011010000
310211221112222200
43102232223100
5103120211144
65252003200
71240354500
oct322565320
9124845880
1055241424
1129200777
1216600500
13b5a2044
14749da00
154cb2c69
hex34aead0

55241424 has 90 divisors (see below), whose sum is σ = 179862930. Its totient is φ = 15781248.

The previous prime is 55241419. The next prime is 55241437. The reversal of 55241424 is 42414255.

55241424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37601424 + 17640000 = 6132^2 + 4200^2 .

It is a super-2 number, since 2×552414242 = 6103229851095552, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 3142 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (1998477).

Almost surely, 255241424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89931465).

55241424 is an abundant number, since it is smaller than the sum of its proper divisors (124621506).

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

55241424 is a wasteful number, since it uses less digits than its factorization.

55241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7841 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 55241424 is about 7432.4574670831. The cubic root of 55241424 is about 380.8508726728.

Adding to 55241424 its reverse (42414255), we get a palindrome (97655679).

The spelling of 55241424 in words is "fifty-five million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7829 15658 23487 31316 46974 54803 62632 70461 93948 109606 125264 140922 164409 187896 219212 281844 328818 375792 383621 438424 493227 563688 657636 767242 876848 986454 1127376 1150863 1315272 1534484 1972908 2301726 2630544 3068968 3452589 3945816 4603452 6137936 6905178 7891632 9206904 13810356 18413808 27620712 55241424