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52848208 = 2472953307
BaseRepresentation
bin1100100110011…
…0011001010000
310200102222010001
43021212121100
5102012120313
65124415344
71211126260
oct311463120
9120388101
1052848208
1127916706
1215847554
13ac4493a
1470397a0
15498dadd
hex3266650

52848208 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 21385728.

The previous prime is 52848203. The next prime is 52848233. The reversal of 52848208 is 80284825.

It is a super-2 number, since 2×528482082 = 5585866177622528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52848203) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171991 + ... + 172297.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 252848208 is an apocalyptic number.

52848208 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 52848208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

52848208 is an abundant number, since it is smaller than the sum of its proper divisors (70893872).

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

52848208 is a wasteful number, since it uses less digits than its factorization.

52848208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 52848208 is about 7269.6772968269. The cubic root of 52848208 is about 375.2696324528.

The spelling of 52848208 in words is "fifty-two million, eight hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 307 371 406 424 464 614 742 812 848 1228 1484 1537 1624 2149 2456 2968 3074 3248 4298 4912 5936 6148 8596 8903 10759 12296 16271 17192 17806 21518 24592 32542 34384 35612 43036 62321 65084 71224 86072 113897 124642 130168 142448 172144 227794 249284 260336 455588 471859 498568 911176 943718 997136 1822352 1887436 3303013 3774872 6606026 7549744 13212052 26424104 52848208