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54222464 = 27371072
BaseRepresentation
bin1100111011010…
…1111010000000
310210000210020102
43032311322000
5102340104324
65214101532
71225611662
oct316657200
9123023212
1054222464
112867515a
12161aa8a8
13b3062ca
1472b6532
154b60dae
hex33b5e80

54222464 has 48 divisors (see below), whose sum is σ = 111987330. Its totient is φ = 26131968.

The previous prime is 54222463. The next prime is 54222479. The reversal of 54222464 is 46422245.

54222464 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., 35904064 + 18318400 = 5992^2 + 4280^2 .

It is not an unprimeable number, because it can be changed into a prime (54222463) 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 5 ways as a sum of consecutive naturals, for example, 506699 + ... + 506805.

Almost surely, 254222464 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 54222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55993665).

54222464 is an abundant number, since it is smaller than the sum of its proper divisors (57764866).

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

54222464 is an equidigital number, since it uses as much as digits as its factorization.

54222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 146 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 54222464 is about 7363.5904285885. The cubic root of 54222464 is about 378.4946539593.

The spelling of 54222464 in words is "fifty-four million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 107 128 148 214 296 428 592 856 1184 1712 2368 3424 3959 4736 6848 7918 11449 13696 15836 22898 31672 45796 63344 91592 126688 183184 253376 366368 423613 506752 732736 847226 1465472 1694452 3388904 6777808 13555616 27111232 54222464