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55942320 = 2435726771
BaseRepresentation
bin1101010101100…
…1110010110000
310220021011102210
43111121302300
5103310123240
65315012120
71246334100
oct325316260
9126234383
1055942320
112963a325
121689a040
13b789085
147603200
154da0780
hex3559cb0

55942320 has 240 divisors, whose sum is σ = 207629568. Its totient is φ = 12418560.

The previous prime is 55942303. The next prime is 55942379. The reversal of 55942320 is 2324955.

55942320 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 787885 + ... + 787955.

Almost surely, 255942320 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 55942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103814784).

55942320 is an abundant number, since it is smaller than the sum of its proper divisors (151687248).

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

55942320 is a wasteful number, since it uses less digits than its factorization.

55942320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55942320 is about 7479.4598735470. The cubic root of 55942320 is about 382.4548368224.

The spelling of 55942320 in words is "fifty-five million, nine hundred forty-two thousand, three hundred twenty".