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55396848 = 2431326829
BaseRepresentation
bin1101001101010…
…0100111110000
310212020110012010
43103110213300
5103140144343
65255202520
71241602563
oct323244760
9125213163
1055396848
11292a7521
1216676440
13b627a00
1475004da
154ce3d33
hex34d49f0

55396848 has 60 divisors (see below), whose sum is σ = 154986360. Its totient is φ = 17042688.

The previous prime is 55396843. The next prime is 55396871. The reversal of 55396848 is 84869355.

It is a happy number.

55396848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55396797 and 55396806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55396843) by changing a digit.

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, 4698 + ... + 11526.

It is an arithmetic number, because the mean of its divisors is an integer number (2583106).

Almost surely, 255396848 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 55396848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77493180).

55396848 is an abundant number, since it is smaller than the sum of its proper divisors (99589512).

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

55396848 is a wasteful number, since it uses less digits than its factorization.

55396848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6847 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 55396848 is about 7442.9058841289. The cubic root of 55396848 is about 381.2077180378.

The spelling of 55396848 in words is "fifty-five million, three hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 6829 8112 13658 20487 27316 40974 54632 81948 88777 109264 163896 177554 266331 327792 355108 532662 710216 1065324 1154101 1420432 2130648 2308202 3462303 4261296 4616404 6924606 9232808 13849212 18465616 27698424 55396848