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55301344 = 257271911
BaseRepresentation
bin1101001011110…
…1010011100000
310212001121011221
43102331103200
5103124120334
65253144424
71241024260
oct322752340
9125047157
1055301344
112924179a
121662b114
13b5c33b7
1474b77a0
154cc58b4
hex34bd4e0

55301344 has 48 divisors (see below), whose sum is σ = 125024256. Its totient is φ = 23587200.

The previous prime is 55301341. The next prime is 55301359. The reversal of 55301344 is 44310355.

55301344 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 not an unprimeable number, because it can be changed into a prime (55301341) 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 7 ways as a sum of consecutive naturals, for example, 60249 + ... + 61159.

It is an arithmetic number, because the mean of its divisors is an integer number (2604672).

Almost surely, 255301344 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 55301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128).

55301344 is an abundant number, since it is smaller than the sum of its proper divisors (69722912).

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

55301344 is a wasteful number, since it uses less digits than its factorization.

55301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 55301344 is about 7436.4873428252. The cubic root of 55301344 is about 380.9885250389.

Adding to 55301344 its reverse (44310355), we get a palindrome (99611699).

The spelling of 55301344 in words is "fifty-five million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 911 1084 1822 1897 2168 3644 3794 4336 6377 7288 7588 8672 12754 14576 15176 25508 29152 30352 51016 60704 102032 204064 246881 493762 987524 1728167 1975048 3456334 3950096 6912668 7900192 13825336 27650672 55301344