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55729944 = 2334175059
BaseRepresentation
bin1101010010010…
…1111100011000
310212212101010000
43110211330120
5103231324234
65310253000
71244460654
oct324457430
9125771100
1055729944
1129504806
12167b7160
13b7134ca
147589a64
154d5c899
hex3525f18

55729944 has 80 divisors (see below), whose sum is σ = 165310200. Its totient is φ = 17480448.

The previous prime is 55729939. The next prime is 55729969. The reversal of 55729944 is 44992755.

55729944 is a `hidden beast` number, since 557 + 2 + 9 + 94 + 4 = 666.

55729944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55729944.

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 19 ways as a sum of consecutive naturals, for example, 8487 + ... + 13545.

Almost surely, 255729944 is an apocalyptic number.

55729944 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 55729944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82655100).

55729944 is an abundant number, since it is smaller than the sum of its proper divisors (109580256).

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

55729944 is a wasteful number, since it uses less digits than its factorization.

55729944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5081 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55729944 is about 7465.2490916245. The cubic root of 55729944 is about 381.9702470362.

The spelling of 55729944 in words is "fifty-five million, seven hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5059 5508 10118 11016 15177 20236 30354 40472 45531 60708 86003 91062 121416 136593 172006 182124 258009 273186 344012 364248 409779 516018 546372 688024 774027 819558 1032036 1092744 1548054 1639116 2064072 2322081 3096108 3278232 4644162 6192216 6966243 9288324 13932486 18576648 27864972 55729944