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55261648 = 24132107191
BaseRepresentation
bin1101001011001…
…1100111010000
310211222120201201
43102303213100
5103121333043
65252240544
71240500451
oct322634720
9124876651
1055261648
1129214992
1216610154
13b5ab300
1474a7128
154cb8c4d
hex34b39d0

55261648 has 60 divisors (see below), whose sum is σ = 117635328. Its totient is φ = 25134720.

The previous prime is 55261631. The next prime is 55261651. The reversal of 55261648 is 84616255.

55261648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 289233 + ... + 289423.

Almost surely, 255261648 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 55261648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58817664).

55261648 is an abundant number, since it is smaller than the sum of its proper divisors (62373680).

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

55261648 is a wasteful number, since it uses less digits than its factorization.

55261648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 55261648 is about 7433.8178616375. The cubic root of 55261648 is about 380.8973437673.

The spelling of 55261648 in words is "fifty-five million, two hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 169 191 208 214 338 382 428 676 764 856 1352 1391 1528 1712 2483 2704 2782 3056 4966 5564 9932 11128 18083 19864 20437 22256 32279 36166 39728 40874 64558 72332 81748 129116 144664 163496 258232 265681 289328 326992 516464 531362 1062724 2125448 3453853 4250896 6907706 13815412 27630824 55261648