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52004016 = 2432596121
BaseRepresentation
bin1100011001100…
…0010010110000
310121212002002200
43012120102300
5101303112031
65054343200
71201012131
oct306302260
9117762080
1052004016
112739a429
12154bab00
13aa0a60c
146c99c88
1548738e6
hex31984b0

52004016 has 60 divisors (see below), whose sum is σ = 148029960. Its totient is φ = 17038080.

The previous prime is 52003997. The next prime is 52004023. The reversal of 52004016 is 61040025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 52004016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5436 + ... + 11556.

It is an arithmetic number, because the mean of its divisors is an integer number (2467166).

Almost surely, 252004016 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 52004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74014980).

52004016 is an abundant number, since it is smaller than the sum of its proper divisors (96025944).

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

52004016 is a wasteful number, since it uses less digits than its factorization.

52004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52004016 is about 7211.3810050503. The cubic root of 52004016 is about 373.2607242580.

It can be divided in two parts, 5200 and 4016, that added together give a square (9216 = 962).

The spelling of 52004016 in words is "fifty-two million, four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 6121 8496 12242 18363 24484 36726 48968 55089 73452 97936 110178 146904 220356 293808 361139 440712 722278 881424 1083417 1444556 2166834 2889112 3250251 4333668 5778224 6500502 8667336 13001004 17334672 26002008 52004016