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52824816 = 24321133349
BaseRepresentation
bin1100100110000…
…0101011110000
310200101210000200
43021200223300
5102010343231
65124115200
71211001132
oct311405360
9120353020
1052824816
1127900080
1215835b00
13ac370b5
147031052
154986be6
hex3260af0

52824816 has 60 divisors (see below), whose sum is σ = 161280600. Its totient is φ = 16007040.

The previous prime is 52824809. The next prime is 52824829. The reversal of 52824816 is 61842825.

It is a super-2 number, since 2×528248162 = 5580922370867712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15091 + ... + 18258.

It is an arithmetic number, because the mean of its divisors is an integer number (2688010).

Almost surely, 252824816 is an apocalyptic number.

It is an amenable number.

52824816 is an abundant number, since it is smaller than the sum of its proper divisors (108455784).

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

52824816 is a wasteful number, since it uses less digits than its factorization.

52824816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33374 (or 33365 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 52824816 is about 7268.0682440384. The cubic root of 52824816 is about 375.2142562281.

Subtracting 52824816 from its reverse (61842825), we obtain a square (9018009 = 30032).

The spelling of 52824816 in words is "fifty-two million, eight hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 33349 66698 100047 133396 200094 266792 300141 366839 400188 533584 600282 733678 800376 1100517 1200564 1467356 1600752 2201034 2401128 2934712 3301551 4402068 4802256 5869424 6603102 8804136 13206204 17608272 26412408 52824816