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52054016 = 21173631
BaseRepresentation
bin1100011010010…
…0100000000000
310121221121200112
43012210200000
5101311212031
65055410452
71201310660
oct306444000
9117847615
1052054016
1127423a53
1215523a28
13aa272c1
146cb01a0
15488362b
hex31a4800

52054016 has 48 divisors (see below), whose sum is σ = 118984320. Its totient is φ = 22302720.

The previous prime is 52054007. The next prime is 52054019. The reversal of 52054016 is 61045025.

It is a junction number, because it is equal to n+sod(n) for n = 52053982 and 52054000.

It is not an unprimeable number, because it can be changed into a prime (52054019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12521 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (2478840).

Almost surely, 252054016 is an apocalyptic number.

52054016 is a gapful number since it is divisible by the number (56) 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 52054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59492160).

52054016 is an abundant number, since it is smaller than the sum of its proper divisors (66930304).

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

52054016 is an equidigital number, since it uses as much as digits as its factorization.

52054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52054016 is about 7214.8469145229. The cubic root of 52054016 is about 373.3803115486.

The spelling of 52054016 in words is "fifty-two million, fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 3631 7168 7262 14336 14524 25417 29048 50834 58096 101668 116192 203336 232384 406672 464768 813344 929536 1626688 1859072 3253376 3718144 6506752 7436288 13013504 26027008 52054016