Search a number
-
+
55049328 = 2433612089
BaseRepresentation
bin1101000111111…
…1110001110000
310211120210111000
43101333301300
5103043034303
65243522000
71235624445
oct321776160
9124523430
1055049328
112908a414
1216529300
13b535789
14744d9cc
154c75da3
hex347fc70

55049328 has 80 divisors (see below), whose sum is σ = 160679200. Its totient is φ = 18040320.

The previous prime is 55049321. The next prime is 55049339. The reversal of 55049328 is 82394055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55049292 and 55049301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55049321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25308 + ... + 27396.

It is an arithmetic number, because the mean of its divisors is an integer number (2008490).

Almost surely, 255049328 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 55049328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80339600).

55049328 is an abundant number, since it is smaller than the sum of its proper divisors (105629872).

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

55049328 is a wasteful number, since it uses less digits than its factorization.

55049328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55049328 is about 7419.5234348306. The cubic root of 55049328 is about 380.4089042488.

The spelling of 55049328 in words is "fifty-five million, forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2089 2196 2928 3294 4178 4392 6267 6588 8356 8784 12534 13176 16712 18801 25068 26352 33424 37602 50136 56403 75204 100272 112806 127429 150408 225612 254858 300816 382287 451224 509716 764574 902448 1019432 1146861 1529148 2038864 2293722 3058296 3440583 4587444 6116592 6881166 9174888 13762332 18349776 27524664 55049328