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54322452 = 22322961853
BaseRepresentation
bin1100111100111…
…0010100010100
310210012212101200
43033032110110
5102401304302
65220152500
71226506332
oct317162424
9123185350
1054322452
1128733298
1216238730
13b33c982
147300b52
154b8081c
hex33ce514

54322452 has 72 divisors (see below), whose sum is σ = 144548040. Its totient is φ = 17176320.

The previous prime is 54322409. The next prime is 54322453. The reversal of 54322452 is 25422345.

It is a happy number.

54322452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 52794756 = 1236^2 + 7266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54322453) 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, 63258 + ... + 64110.

Almost surely, 254322452 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 54322452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274020).

54322452 is an abundant number, since it is smaller than the sum of its proper divisors (90225588).

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

54322452 is a wasteful number, since it uses less digits than its factorization.

54322452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 948 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 54322452 is about 7370.3766525192. The cubic root of 54322452 is about 378.7271632801.

Adding to 54322452 its reverse (25422345), we get a palindrome (79744797).

The spelling of 54322452 in words is "fifty-four million, three hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 853 1044 1098 1706 1769 2196 2559 3412 3538 5118 5307 7076 7677 10236 10614 15354 15921 21228 24737 30708 31842 49474 52033 63684 74211 98948 104066 148422 156099 208132 222633 296844 312198 445266 468297 624396 890532 936594 1508957 1873188 3017914 4526871 6035828 9053742 13580613 18107484 27161226 54322452