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53860224 = 2731141311
BaseRepresentation
bin1100110101110…
…1011110000000
310202100101100010
43031131132000
5102242011344
65202224520
71222542615
oct315353600
9122311303
1053860224
1128447a90
1216055140
13b20a472
14722050c
154add8b9
hex335d780

53860224 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 15872000.

The previous prime is 53860223. The next prime is 53860241. The reversal of 53860224 is 42206835.

53860224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 53860191 and 53860200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53860223) 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, 173029 + ... + 173339.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 253860224 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 53860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

53860224 is an abundant number, since it is smaller than the sum of its proper divisors (106532736).

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

53860224 is a wasteful number, since it uses less digits than its factorization.

53860224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 53860224 is about 7338.9525138129. The cubic root of 53860224 is about 377.6499096147.

The spelling of 53860224 in words is "fifty-three million, eight hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 264 311 328 352 384 451 492 528 622 656 704 902 933 984 1056 1244 1312 1353 1408 1804 1866 1968 2112 2488 2624 2706 3421 3608 3732 3936 4224 4976 5248 5412 6842 7216 7464 7872 9952 10263 10824 12751 13684 14432 14928 15744 19904 20526 21648 25502 27368 28864 29856 38253 39808 41052 43296 51004 54736 57728 59712 76506 82104 86592 102008 109472 119424 140261 153012 164208 173184 204016 218944 280522 306024 328416 408032 420783 437888 561044 612048 656832 816064 841566 1122088 1224096 1313664 1632128 1683132 2244176 2448192 3366264 4488352 4896384 6732528 8976704 13465056 17953408 26930112 53860224