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52826112 = 212321433
BaseRepresentation
bin1100100110000…
…1000000000000
310200101211210200
43021201000000
5102010413422
65124125200
71211004663
oct311410000
9120354720
1052826112
1127901049
1215836800
13ac37871
1470316da
1549872ac
hex3261000

52826112 has 78 divisors (see below), whose sum is σ = 152696622. Its totient is φ = 17596416.

The previous prime is 52826051. The next prime is 52826159. The reversal of 52826112 is 21162825.

It is a happy number.

52826112 is a `hidden beast` number, since 528 + 26 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 2359296 = 7104^2 + 1536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36148 + ... + 37580.

It is an arithmetic number, because the mean of its divisors is an integer number (1957649).

Almost surely, 252826112 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 52826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76348311).

52826112 is an abundant number, since it is smaller than the sum of its proper divisors (99870510).

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

52826112 is a wasteful number, since it uses less digits than its factorization.

52826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1438 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 52826112 is about 7268.1574006071. The cubic root of 52826112 is about 375.2173246956.

Adding to 52826112 its reverse (21162825), we get a palindrome (73988937).

The spelling of 52826112 in words is "fifty-two million, eight hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1433 1536 2048 2304 2866 3072 4096 4299 4608 5732 6144 8598 9216 11464 12288 12897 17196 18432 22928 25794 34392 36864 45856 51588 68784 91712 103176 137568 183424 206352 275136 366848 412704 550272 733696 825408 1100544 1467392 1650816 2201088 2934784 3301632 4402176 5869568 6603264 8804352 13206528 17608704 26413056 52826112