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52420816 = 247538831
BaseRepresentation
bin1100011111111…
…0000011010000
310122122020211201
43013332003100
5101404431231
65111320544
71204366240
oct307760320
9118566751
1052420816
1127654598
1215680154
13ab25246
146d67b20
154907161
hex31fe0d0

52420816 has 40 divisors (see below), whose sum is σ = 118278144. Its totient is φ = 22039680.

The previous prime is 52420811. The next prime is 52420817. The reversal of 52420816 is 61802425.

52420816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52420811) 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 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 10351.

Almost surely, 252420816 is an apocalyptic number.

52420816 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 52420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139072).

52420816 is an abundant number, since it is smaller than the sum of its proper divisors (65857328).

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

52420816 is a wasteful number, since it uses less digits than its factorization.

52420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 52420816 is about 7240.2220960410. Note that the first 3 decimals coincide. The cubic root of 52420816 is about 374.2552710261.

The spelling of 52420816 in words is "fifty-two million, four hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 8831 17662 35324 61817 70648 123634 141296 247268 468043 494536 936086 989072 1872172 3276301 3744344 6552602 7488688 13105204 26210408 52420816