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53936848 = 247289773
BaseRepresentation
bin1100110111000…
…0001011010000
310202111021110001
43031300023100
5102301434343
65204015344
71223312200
oct315601320
9122437401
1053936848
112849a609
1216091554
13b2362c4
147240400
154b0644d
hex33702d0

53936848 has 60 divisors (see below), whose sum is σ = 123089220. Its totient is φ = 22826496.

The previous prime is 53936843. The next prime is 53936849. The reversal of 53936848 is 84863935.

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 47444544 = 2548^2 + 6888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53936798 and 53936807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53936843) 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 11 ways as a sum of consecutive naturals, for example, 69390 + ... + 70162.

It is an arithmetic number, because the mean of its divisors is an integer number (2051487).

Almost surely, 253936848 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 53936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544610).

53936848 is an abundant number, since it is smaller than the sum of its proper divisors (69152372).

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

53936848 is a wasteful number, since it uses less digits than its factorization.

53936848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 53936848 is about 7344.1710219738. The cubic root of 53936848 is about 377.8289120583.

The spelling of 53936848 in words is "fifty-three million, nine hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 773 784 1246 1424 1546 2492 3092 4361 4984 5411 6184 8722 9968 10822 12368 17444 21644 34888 37877 43288 68797 69776 75754 86576 137594 151508 275188 303016 481579 550376 606032 963158 1100752 1926316 3371053 3852632 6742106 7705264 13484212 26968424 53936848