Search a number
-
+
55236048 = 2437315303
BaseRepresentation
bin1101001010110…
…1010111010000
310211221021121120
43102231113100
5103120023143
65251522240
71240333020
oct322552720
9124837546
1055236048
11291a772a
12165b9380
13b59c76a
14749ba80
154cb1383
hex34ad5d0

55236048 has 80 divisors (see below), whose sum is σ = 168370176. Its totient is φ = 15269760.

The previous prime is 55236047. The next prime is 55236053. The reversal of 55236048 is 84063255.

55236048 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 (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55236047) 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 15 ways as a sum of consecutive naturals, for example, 7765 + ... + 13067.

Almost surely, 255236048 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 55236048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185088).

55236048 is an abundant number, since it is smaller than the sum of its proper divisors (113134128).

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

55236048 is a wasteful number, since it uses less digits than its factorization.

55236048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55236048 is about 7432.0958013201. The cubic root of 55236048 is about 380.8385176889.

The spelling of 55236048 in words is "fifty-five million, two hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 5303 10416 10606 15909 21212 31818 37121 42424 63636 74242 84848 111363 127272 148484 164393 222726 254544 296968 328786 445452 493179 593936 657572 890904 986358 1150751 1315144 1781808 1972716 2301502 2630288 3452253 3945432 4603004 6904506 7890864 9206008 13809012 18412016 27618024 55236048