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54063464 = 2372131032
BaseRepresentation
bin1100111000111…
…1000101101000
310202201201010112
43032033011220
5102320012324
65210433452
71224350300
oct316170550
9122651115
1054063464
1128576754
1216132888
13b27bb20
147274600
154b2dc0e
hex338f168

54063464 has 72 divisors (see below), whose sum is σ = 128234610. Its totient is φ = 21180096.

The previous prime is 54063407. The next prime is 54063469. The reversal of 54063464 is 46436045.

54063464 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 only one way, i.e., 51984100 + 2079364 = 7210^2 + 1442^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54063464.

It is not an unprimeable number, because it can be changed into a prime (54063469) 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 17 ways as a sum of consecutive naturals, for example, 524837 + ... + 524939.

Almost surely, 254063464 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 54063464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64117305).

54063464 is an abundant number, since it is smaller than the sum of its proper divisors (74171146).

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

54063464 is a wasteful number, since it uses less digits than its factorization.

54063464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 54063464 is about 7352.7861386008. The cubic root of 54063464 is about 378.1243303861.

The spelling of 54063464 in words is "fifty-four million, sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 103 104 182 196 206 364 392 412 637 721 728 824 1274 1339 1442 2548 2678 2884 5047 5096 5356 5768 9373 10094 10609 10712 18746 20188 21218 37492 40376 42436 65611 74263 74984 84872 131222 137917 148526 262444 275834 297052 519841 524888 551668 594104 965419 1039682 1103336 1930838 2079364 3861676 4158728 6757933 7723352 13515866 27031732 54063464