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52056216 = 2333401601
BaseRepresentation
bin1100011010010…
…1000010011000
310121221201201000
43012211002120
5101311244331
65055425000
71201320252
oct306450230
9117851630
1052056216
1127425673
1215525160
13aa282c4
146cb0cd2
1548840e6
hex31a5098

52056216 has 64 divisors (see below), whose sum is σ = 145202400. Its totient is φ = 17280000.

The previous prime is 52056197. The next prime is 52056217. The reversal of 52056216 is 61265025.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52056216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52056217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86316 + ... + 86916.

Almost surely, 252056216 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 52056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601200).

52056216 is an abundant number, since it is smaller than the sum of its proper divisors (93146184).

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

52056216 is a wasteful number, since it uses less digits than its factorization.

52056216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52056216 is about 7214.9993762993. Note that the first 3 decimals coincide. The cubic root of 52056216 is about 373.3855716302.

The spelling of 52056216 in words is "fifty-two million, fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 401 601 802 1202 1203 1604 1803 2404 2406 3208 3606 3609 4808 4812 5409 7212 7218 9624 10818 10827 14424 14436 16227 21636 21654 28872 32454 43272 43308 64908 86616 129816 241001 482002 723003 964004 1446006 1928008 2169009 2892012 4338018 5784024 6507027 8676036 13014054 17352072 26028108 52056216