Search a number
-
+
52422272 = 277411427
BaseRepresentation
bin1100011111111…
…0011010000000
310122122022211122
43013332122000
5101410003042
65111331412
71204403420
oct307763200
9118568748
1052422272
11276556a1
1215680b68
13ab25ac6
146d68480
1549077d2
hex31fe680

52422272 has 64 divisors (see below), whose sum is σ = 122351040. Its totient is φ = 21903360.

The previous prime is 52422269. The next prime is 52422277. The reversal of 52422272 is 27222425.

52422272 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 (64).

It is not an unprimeable number, because it can be changed into a prime (52422277) 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 7 ways as a sum of consecutive naturals, for example, 36023 + ... + 37449.

It is an arithmetic number, because the mean of its divisors is an integer number (1911735).

Almost surely, 252422272 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 52422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175520).

52422272 is an abundant number, since it is smaller than the sum of its proper divisors (69928768).

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

52422272 is a wasteful number, since it uses less digits than its factorization.

52422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1477 counting only the distinct ones).

The product of its digits is 4480, while the sum is 26.

The square root of 52422272 is about 7240.3226447445. The cubic root of 52422272 is about 374.2587360023.

Adding to 52422272 its reverse (27222425), we get a palindrome (79644697).

The spelling of 52422272 in words is "fifty-two million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 1427 2296 2624 2854 4592 5248 5708 9184 9989 11416 18368 19978 22832 36736 39956 45664 58507 79912 91328 117014 159824 182656 234028 319648 409549 468056 639296 819098 936112 1278592 1638196 1872224 3276392 3744448 6552784 7488896 13105568 26211136 52422272