Search a number
-
+
52558440 = 233511291373
BaseRepresentation
bin1100100001111…
…1101001101000
310122220020121220
43020133221220
5101423332230
65114302040
71205511414
oct310375150
9118806556
1052558440
1127738a30
1215727920
13ab72a8c
146da1d44
154932d10
hex321fa68

52558440 has 128 divisors (see below), whose sum is σ = 178070400. Its totient is φ = 12293120.

The previous prime is 52558417. The next prime is 52558453. The reversal of 52558440 is 4485525.

52558440 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 (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37594 + ... + 38966.

It is an arithmetic number, because the mean of its divisors is an integer number (1391175).

Almost surely, 252558440 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 52558440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89035200).

52558440 is an abundant number, since it is smaller than the sum of its proper divisors (125511960).

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

52558440 is a wasteful number, since it uses less digits than its factorization.

52558440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 52558440 is about 7249.7199945929. The cubic root of 52558440 is about 374.5825042542.

It can be divided in two parts, 5255 and 8440, that added together give a triangular number (13695 = T165).

The spelling of 52558440 in words is "fifty-two million, five hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1373 1595 1740 1914 2552 2746 3190 3480 3828 4119 4785 5492 6380 6865 7656 8238 9570 10984 12760 13730 15103 16476 19140 20595 27460 30206 32952 38280 39817 41190 45309 54920 60412 75515 79634 82380 90618 119451 120824 151030 159268 164760 181236 199085 226545 238902 302060 318536 362472 398170 437987 453090 477804 597255 604120 796340 875974 906180 955608 1194510 1313961 1592680 1751948 1812360 2189935 2389020 2627922 3503896 4379870 4778040 5255844 6569805 8759740 10511688 13139610 17519480 26279220 52558440