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54022900 = 22525310193
BaseRepresentation
bin1100111000010…
…1001011110100
310202122122111011
43032011023310
5102312213100
65205522004
71224121111
oct316051364
9122578434
1054022900
1128549228
1216113304
13b266519
147263908
154b21bba
hex33852f4

54022900 has 36 divisors (see below), whose sum is σ = 119453292. Its totient is φ = 21199360.

The previous prime is 54022897. The next prime is 54022933. The reversal of 54022900 is 922045.

It is a happy number.

54022900 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 6 ways, for example, as 381924 + 53640976 = 618^2 + 7324^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 204 + ... + 10396.

It is an arithmetic number, because the mean of its divisors is an integer number (3318147).

Almost surely, 254022900 is an apocalyptic number.

54022900 is a gapful number since it is divisible by the number (50) 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 54022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59726646).

54022900 is an abundant number, since it is smaller than the sum of its proper divisors (65430392).

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

54022900 is a wasteful number, since it uses less digits than its factorization.

54022900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 54022900 is about 7350.0272108340. The cubic root of 54022900 is about 378.0297374027.

Adding to 54022900 its reverse (922045), we get a palindrome (54944945).

The spelling of 54022900 in words is "fifty-four million, twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 10193 20386 40772 50965 101930 203860 254825 509650 540229 1019300 1080458 2160916 2701145 5402290 10804580 13505725 27011450 54022900