Search a number
-
+
53420472 = 2334711777
BaseRepresentation
bin1100101111001…
…0000110111000
310201112001010000
43023302012320
5102133423342
65144553000
71216031550
oct313620670
9121461100
1053420472
1128177656
1215a82760
13b0b5261
147148160
154a5344c
hex32f21b8

53420472 has 80 divisors (see below), whose sum is σ = 171016560. Its totient is φ = 15261696.

The previous prime is 53420459. The next prime is 53420473. The reversal of 53420472 is 27402435.

53420472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53420473) 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 19 ways as a sum of consecutive naturals, for example, 1353 + ... + 10424.

It is an arithmetic number, because the mean of its divisors is an integer number (2137707).

Almost surely, 253420472 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 53420472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85508280).

53420472 is an abundant number, since it is smaller than the sum of its proper divisors (117596088).

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

53420472 is a wasteful number, since it uses less digits than its factorization.

53420472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11802 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 53420472 is about 7308.9309751837. The cubic root of 53420472 is about 376.6193015685.

The spelling of 53420472 in words is "fifty-three million, four hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11777 23554 35331 47108 70662 82439 94216 105993 141324 164878 211986 247317 282648 317979 329756 423972 494634 635958 659512 741951 847944 953937 989268 1271916 1483902 1907874 1978536 2225853 2543832 2967804 3815748 4451706 5935608 6677559 7631496 8903412 13355118 17806824 26710236 53420472