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52326208 = 2611229233
BaseRepresentation
bin1100011110011…
…0111101000000
310122110110001201
43013212331000
5101343414313
65105310544
71203523354
oct307467500
9118413051
1052326208
112759a500
1215635454
13aac116c
146d41464
1548d90dd
hex31e6f40

52326208 has 84 divisors (see below), whose sum is σ = 118574820. Its totient is φ = 22865920.

The previous prime is 52326199. The next prime is 52326223. The reversal of 52326208 is 80262325.

52326208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 33732864 = 4312^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 224460 + ... + 224692.

It is an arithmetic number, because the mean of its divisors is an integer number (1411605).

Almost surely, 252326208 is an apocalyptic number.

52326208 is a gapful number since it is divisible by the number (58) 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 52326208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59287410).

52326208 is an abundant number, since it is smaller than the sum of its proper divisors (66248612).

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

52326208 is a wasteful number, since it uses less digits than its factorization.

52326208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 52326208 is about 7233.6856442619. The cubic root of 52326208 is about 374.0299860617.

The spelling of 52326208 in words is "fifty-two million, three hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 232 233 242 319 352 464 466 484 638 704 928 932 968 1276 1856 1864 1936 2552 2563 3509 3728 3872 5104 5126 6757 7018 7456 7744 10208 10252 13514 14036 14912 20416 20504 27028 28072 28193 41008 54056 56144 56386 74327 82016 108112 112288 112772 148654 164032 216224 224576 225544 297308 432448 451088 594616 817597 902176 1189232 1635194 1804352 2378464 3270388 4756928 6540776 13081552 26163104 52326208