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55745144 = 23721310939
BaseRepresentation
bin1101010010100…
…1101001111000
310212220010221222
43110221221320
5103232321034
65310451212
71244553200
oct324515170
9125803858
1055745144
1129515174
1216803b08
13b71a3c0
147591400
154d6212e
hex3529a78

55745144 has 48 divisors (see below), whose sum is σ = 130951800. Its totient is φ = 22051008.

The previous prime is 55745141. The next prime is 55745189. The reversal of 55745144 is 44154755.

55745144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55745141) 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 11 ways as a sum of consecutive naturals, for example, 374 + ... + 10565.

Almost surely, 255745144 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 55745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65475900).

55745144 is an abundant number, since it is smaller than the sum of its proper divisors (75206656).

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

55745144 is a wasteful number, since it uses less digits than its factorization.

55745144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10961 counting only the distinct ones).

The product of its digits is 56000, while the sum is 35.

The square root of 55745144 is about 7466.2670726408. The cubic root of 55745144 is about 382.0049705593.

Adding to 55745144 its reverse (44154755), we get a palindrome (99899899).

The spelling of 55745144 in words is "fifty-five million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 10939 21878 43756 76573 87512 142207 153146 284414 306292 536011 568828 612584 995449 1072022 1137656 1990898 2144044 3981796 4288088 6968143 7963592 13936286 27872572 55745144