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55934496 = 2533411579
BaseRepresentation
bin1101010101011…
…1111000100000
310220020202201000
43111113320200
5103304400441
65314512000
71246302222
oct325277040
9126222630
1055934496
1129634462
1216895600
13b785647
147600412
154d9d2b6
hex3557e20

55934496 has 96 divisors (see below), whose sum is σ = 167227200. Its totient is φ = 18178560.

The previous prime is 55934467. The next prime is 55934503. The reversal of 55934496 is 69443955.

55934496 is a `hidden beast` number, since 559 + 3 + 4 + 4 + 96 = 666.

55934496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 34635 + ... + 36213.

It is an arithmetic number, because the mean of its divisors is an integer number (1741950).

Almost surely, 255934496 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 55934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83613600).

55934496 is an abundant number, since it is smaller than the sum of its proper divisors (111292704).

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

55934496 is a wasteful number, since it uses less digits than its factorization.

55934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 55934496 is about 7478.9368228379. The cubic root of 55934496 is about 382.4370061582.

The spelling of 55934496 in words is "fifty-five million, nine hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1579 1968 2214 2952 3158 3936 4428 4737 5904 6316 8856 9474 11808 12632 14211 17712 18948 25264 28422 35424 37896 42633 50528 56844 64739 75792 85266 113688 129478 151584 170532 194217 227376 258956 341064 388434 454752 517912 582651 682128 776868 1035824 1165302 1364256 1553736 1747953 2071648 2330604 3107472 3495906 4661208 6214944 6991812 9322416 13983624 18644832 27967248 55934496