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52283088 = 243211132539
BaseRepresentation
bin1100011101110…
…0011011010000
310122101020220200
43013130123100
5101341024323
65104335200
71203253554
oct307343320
9118336820
1052283088
1127570070
1215614500
13aaa7650
146d2d864
1548cb443
hex31dc6d0

52283088 has 120 divisors (see below), whose sum is σ = 171968160. Its totient is φ = 14618880.

The previous prime is 52283087. The next prime is 52283093. The reversal of 52283088 is 88038225.

52283088 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 (36).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52283087) 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 23 ways as a sum of consecutive naturals, for example, 19323 + ... + 21861.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 252283088 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 52283088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85984080).

52283088 is an abundant number, since it is smaller than the sum of its proper divisors (119685072).

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

52283088 is a wasteful number, since it uses less digits than its factorization.

52283088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 52283088 is about 7230.7045299888. The cubic root of 52283088 is about 373.9272166221.

The spelling of 52283088 in words is "fifty-two million, two hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2539 2574 3432 5078 5148 6864 7617 10156 10296 15234 20312 20592 22851 27929 30468 33007 40624 45702 55858 60936 66014 83787 91404 99021 111716 121872 132028 167574 182808 198042 223432 251361 264056 297063 335148 363077 365616 396084 446864 502722 528112 594126 670296 726154 792168 1005444 1089231 1188252 1340592 1452308 1584336 2010888 2178462 2376504 2904616 3267693 4021776 4356924 4753008 5809232 6535386 8713848 13070772 17427696 26141544 52283088