Search a number
-
+
63126224 = 2474159233
BaseRepresentation
bin1111000011001…
…1101011010000
311101210010220022
43300303223100
5112130014344
610133003012
71364364320
oct360635320
9141703808
1063126224
11326a6737
1219183468
1310102bc5
148553280
15581e0ee
hex3c33ad0

63126224 has 80 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 25835520.

The previous prime is 63126223. The next prime is 63126229. The reversal of 63126224 is 42262136.

63126224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63126193 and 63126202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63126221) 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, 270812 + ... + 271044.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 263126224 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 63126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

63126224 is an abundant number, since it is smaller than the sum of its proper divisors (83114416).

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

63126224 is a wasteful number, since it uses less digits than its factorization.

63126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 63126224 is about 7945.2013190353. The cubic root of 63126224 is about 398.1712855831.

The spelling of 63126224 in words is "sixty-three million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 59 82 112 118 164 233 236 287 328 413 466 472 574 656 826 932 944 1148 1631 1652 1864 2296 2419 3262 3304 3728 4592 4838 6524 6608 9553 9676 13048 13747 16933 19106 19352 26096 27494 33866 38212 38704 54988 66871 67732 76424 96229 109976 133742 135464 152848 192458 219952 267484 270928 384916 534968 563627 769832 1069936 1127254 1539664 2254508 3945389 4509016 7890778 9018032 15781556 31563112 63126224