Search a number
-
+
52113024 = 273317887
BaseRepresentation
bin1100011011001…
…0111010000000
310122001121122000
43012302322000
5101320104044
65100544000
71201645005
oct306627200
9118047560
1052113024
1127464317
1215552000
13aa48112
146cc78ac
154895d69
hex31b2e80

52113024 has 128 divisors (see below), whose sum is σ = 163036800. Its totient is φ = 16330752.

The previous prime is 52113023. The next prime is 52113031. The reversal of 52113024 is 42031125.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52112988 and 52113006.

It is not an unprimeable number, because it can be changed into a prime (52113023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58309 + ... + 59195.

It is an arithmetic number, because the mean of its divisors is an integer number (1273725).

Almost surely, 252113024 is an apocalyptic number.

52113024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81518400).

52113024 is an abundant number, since it is smaller than the sum of its proper divisors (110923776).

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

52113024 is a wasteful number, since it uses less digits than its factorization.

52113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52113024 is about 7218.9351015229. The cubic root of 52113024 is about 373.5213452100.

Adding to 52113024 its reverse (42031125), we get a palindrome (94144149).

The spelling of 52113024 in words is "fifty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 887 918 1088 1152 1224 1632 1728 1774 1836 2176 2448 2661 3264 3456 3548 3672 4896 5322 6528 7096 7344 7983 9792 10644 14192 14688 15079 15966 19584 21288 23949 28384 29376 30158 31932 42576 45237 47898 56768 58752 60316 63864 85152 90474 95796 113536 120632 127728 135711 170304 180948 191592 241264 255456 271422 340608 361896 383184 407133 482528 510912 542844 723792 766368 814266 965056 1021824 1085688 1447584 1532736 1628532 1930112 2171376 2895168 3065472 3257064 4342752 5790336 6514128 8685504 13028256 17371008 26056512 52113024